Finite Group Databasebeta

← C2×#19148649 #26004717

Subgroups — C2×#19148649 #26004717

Order 11008.

7314 conjugacy classes of subgroups.

The subgroup lattice has 1936 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148649C2132yesmaximal, direct product factor
2C2×#14583621C211yesmaximal, characteristic, complemented
3C2×#14583617C211yesmaximal, characteristic, complemented
4C2×#14583603C211yesmaximal, characteristic, complemented
5C2×#14583598C211yesmaximal, characteristic, complemented
6C2×#14583593C211yesmaximal, characteristic, complemented
7C2×#14583592C211yesmaximal, characteristic, complemented
8C2×#14583590C211yesmaximal, characteristic, complemented
9C2×#14583586C211yesmaximal, characteristic, complemented
10C2×#14583582C211yesmaximal, characteristic, complemented
11C2×#14583578C211yesmaximal, characteristic, complemented
12C2×#14583576C211yesmaximal, characteristic, complemented
13C2×#14583573C211yesmaximal, characteristic, complemented
14C2×#14583572C211yesmaximal, characteristic, complemented
15C2×#14583547C211yesmaximal, characteristic, complemented
16C2×#14583541C211yesmaximal, characteristic, complemented
17C2×#14583538C211yesmaximal, characteristic, complemented
18C2×#14583513C211yesmaximal, characteristic, complemented
19C2×#14583508C211yesmaximal, characteristic, complemented
20C2×#14583497C211yesmaximal, characteristic, complemented
21C2×#14583491C211yesmaximal, characteristic, complemented
22C2×#14583483C211yesmaximal, characteristic, complemented
23C2×#14583482C211yesmaximal, characteristic, complemented
24C2×#14583432C211yesmaximal, characteristic, complemented
25C2×#14583432C211yesmaximal, characteristic, complemented
26C2×#14583432C211yesmaximal, characteristic, complemented
27C22×#13063319C211yesmaximal, characteristic, complemented
28C2×#126×D43C211yesmaximal, characteristic, complemented
29C2×#14583378C211yesmaximal, characteristic, complemented
30C2×#14583371C211yesmaximal, characteristic, complemented
31C2×C4×#10621898C211yesmaximal, characteristic, complemented
32C2×C43×#529C211yesmaximal, characteristic, complemented
33C22×#10621898C2211yescharacteristic
34C22×#10621900C2211yescharacteristic
35C22×D4×D43C2211yescharacteristic
36#14583621C22116yescomplemented
37#14583617C22116yescomplemented
38#14583603C22116yescomplemented
39#14583598C22116yescomplemented
40#14583593C22116yescomplemented
41#14583592C22116yescomplemented
42#14583590C22116yescomplemented
43#14583586C22116yescomplemented
44#14583582C22116yescomplemented
45#14583578C22116yescomplemented
46#14583576C22116yescomplemented
47#14583573C22116yescomplemented
48#14583572C22116yescomplemented
49#14583547C22116yescomplemented
50#14583541C22116yescomplemented
51#14583538C22116yescomplemented
52#14583513C22116yescomplemented
53#14583508C22116yescomplemented
54#14583497C22116yescomplemented
55#14583491C22116yescomplemented
56#14583483C22116yescomplemented
57#14583482C22116yescomplemented
58C2×#13063324C2211yescharacteristic, complemented
59C2×#13063323C2211yescharacteristic, complemented
60#14583432C22116yescomplemented
61#14583432C22116yescomplemented
62#14583432C22116yescomplemented
63C2×#13063320C2211yescharacteristic
64C2×#13063320C2211yescharacteristic
65C2×#13063320C2211yescharacteristic
66C2×#13063320C2211yescharacteristic
67C2×#13063320C2211yescharacteristic
68C2×#13063320C2211yescharacteristic, complemented
69C2×#13063319C2211yescharacteristic
70C2×#13063319C2211yescharacteristic
71C2×#13063319C2211yescharacteristic
72C2×#13063319C2211yescharacteristic
73C2×#13063319C2211yescharacteristic, complemented
74C2×#13063319C2211yescharacteristic, complemented
75C2×#13063319C2211yescharacteristic, complemented
76C2×#13063319C2211yescharacteristic, complemented
77C2×#13063319C2211yescharacteristic, complemented
78C2×#13063319C2211yescharacteristic, complemented
79C2×#13063319C22116yescomplemented
80C2×#13063318C2211yescharacteristic, complemented
81C2×#13063318C2211yescharacteristic, complemented
82C2×#13063318C2211yescharacteristic, complemented
83C2×#13063318C2211yescharacteristic, complemented
84#126×D43C22116yescomplemented
85C2×#13063317C2211yescharacteristic, complemented
86C2×#13063316C2211yescharacteristic, complemented
87C2×#13063315C2211yescharacteristic, complemented
88C2×#13063315C2211yescharacteristic, complemented
89C2×#13063315C2211yescharacteristic, complemented
90C2×#13063315C2211yescharacteristic, complemented
91C2×#13063315C2211yescharacteristic, complemented
92C2×#13063315C2211yescharacteristic, complemented
93C2×#13063314C2211yescharacteristic
94C2×#13063313C2211yescharacteristic
95C2×#13063311C2211yescharacteristic
96C2×#13063311C2211yescharacteristic
97C2×#13063311C2211yescharacteristic
98C2×#13063311C2211yescharacteristic, complemented
99C2×#13063310C2211yescharacteristic
100C2×#13063310C2211yescharacteristic
101C2×#13063310C2211yescharacteristic
102C2×#13063310C2211yescharacteristic, complemented
103C2×#13063310C2211yescharacteristic, complemented
104C2×#13063310C2211yescharacteristic, complemented
105C2×#13063309C2211yescharacteristic
106C2×#13063309C2211yescharacteristic, complemented
107C2×#13063308C2211yescharacteristic
108C2×#13063308C2211yescharacteristic, complemented
109C2×#13063307C2211yescharacteristic, complemented
110C2×#13063307C2211yescharacteristic, complemented
111C2×#13063307C2211yescharacteristic, complemented
112C2×#13063307C2211yescharacteristic, complemented
113C2×#13063306C2211yescharacteristic
114C2×#13063306C2211yescharacteristic, complemented
115C2×#13063305C2211yescharacteristic, complemented
116C2×#13063304C2211yescharacteristic, complemented
117C2×#13063303C2211yescharacteristic
118C2×#13063303C2211yescharacteristic
119C2×#13063303C2211yescharacteristic, complemented
120C2×#13063303C2211yescharacteristic, complemented
121C2×#13063303C2211yescharacteristic, complemented
122C2×#13063303C2211yescharacteristic, complemented
123C2×#13063302C2211yescharacteristic, complemented
124C2×#13063302C2211yescharacteristic, complemented
125C2×#13063302C2211yescharacteristic, complemented
126C2×#13063302C2211yescharacteristic, complemented
127C2×#13063301C2211yescharacteristic, complemented
128C2×#13063301C2211yescharacteristic, complemented
129C2×#13063300C2211yescharacteristic
130C2×#13063299C2211yescharacteristic, complemented
131C2×#13063298C2211yescharacteristic
132C2×#13063298C2211yescharacteristic
133C2×#13063298C2211yescharacteristic
134C2×#13063298C2211yescharacteristic, complemented
135C2×#13063297C2211yescharacteristic
136C2×#13063297C2211yescharacteristic
137C2×#13063297C2211yescharacteristic, complemented
138C2×#13063297C2211yescharacteristic, complemented
139C2×#13063295C2211yescharacteristic
140C2×#13063295C2211yescharacteristic
141C2×#13063293C2211yescharacteristic
142C2×#13063293C2211yescharacteristic
143#14583378C22116yescomplemented
144#14583371C22116yescomplemented
145C4×#10621898C22116yescomplemented
146C2×C4×Dic86C2211yescharacteristic, complemented
147C2×C4×Dic86C2211yescharacteristic, complemented
148C2×C4×Dic86C2211yescharacteristic, complemented
149C2×#13063290C2211yescharacteristic, complemented
150C2×#13063290C2211yescharacteristic, complemented
151C2×#13063290C2211yescharacteristic, complemented
152C2×C4×D172C2211yescharacteristic
153C2×C4×D172C2211yescharacteristic, complemented
154C2×C4×D172C2211yescharacteristic, complemented
155C2×D4×Dic43C2211yescharacteristic
156C2×D4×Dic43C2211yescharacteristic, complemented
157C2×#13063287C2211yescharacteristic
158C2×#13063287C2211yescharacteristic
159C2×#13063287C2211yescharacteristic, complemented
160C2×C4×C22⋊D43C2211yescharacteristic
161C2×C4×C22⋊D43C2211yescharacteristic
162C2×C4×C22⋊D43C2211yescharacteristic
163C2×C4×C22⋊D43C2211yescharacteristic, complemented
164C2×C4×C22⋊D43C2211yescharacteristic, complemented
165C2×C4×C22⋊D43C2211yescharacteristic, complemented
166C2×(C22⋊D43)⋊C4C2211yescharacteristic
167C2×(C22⋊D43)⋊C4C2211yescharacteristic
168C2×(C22⋊D43)⋊C4C2211yescharacteristic
169C2×(C22⋊D43)⋊C4C2211yescharacteristic
170C2×(C22⋊D43)⋊C4C2211yescharacteristic, complemented
171C2×(C22⋊D43)⋊C4C2211yescharacteristic, complemented
172C2×(C22⋊D43)⋊C4C2211yescharacteristic, complemented
173C2×(C22⋊D43)⋊C4C2211yescharacteristic, complemented
174C2×#13063284C2211yescharacteristic, complemented
175C2×#13063283C2211yescharacteristic
176C2×#13063283C2211yescharacteristic, complemented
177C2×#13063283C2211yescharacteristic, complemented
178C2×#13063282C2211yescharacteristic
179C2×#13063282C2211yescharacteristic, complemented
180C2×#13063282C2211yescharacteristic, complemented
181C2×#13063282C2211yescharacteristic, complemented
182C2×#13063281C2211yescharacteristic, complemented
183C2×#13063281C2211yescharacteristic, complemented
184C2×#13063281C2211yescharacteristic, complemented
185C2×#13063281C2211yescharacteristic, complemented
186C22×Dic43⋊C4C2211yescharacteristic, complemented
187C22×Dic43⋊C4C2211yescharacteristic, complemented
188C22×Dic43⋊C4C2211yescharacteristic, complemented
189C22×Dic43⋊C4C2211yescharacteristic, complemented
190C2×C4⋊C4×D43C2211yescharacteristic, complemented
191C2×C4⋊C4×D43C2211yescharacteristic, complemented
192C2×C4⋊C4×D43C2211yescharacteristic, complemented
193C22×(C2×D43)⋊C4C2211yescharacteristic
194C22×(C2×D43)⋊C4C2211yescharacteristic
195C22×(C2×D43)⋊C4C2211yescharacteristic
196C22×(C2×D43)⋊C4C2211yescharacteristic
197C2×C22⋊C4×D43C2211yescharacteristic
198C2×C22⋊C4×D43C2211yescharacteristic
199C2×C22⋊C4×D43C2211yescharacteristic
200C2×C22⋊C4×D43C2211yescharacteristic
201C2×C42×D43C2211yescharacteristic, complemented
202C2×C42×D43C2211yescharacteristic, complemented
203C43×#529C22116yescomplemented
204C2×#126×C43C2211yescharacteristic, complemented
205C2×#126×C43C2211yescharacteristic, complemented
206C2×#125×C43C2211yescharacteristic, complemented
207C2×#124×C43C2211yescharacteristic, complemented
208C2×#123×C43C2211yescharacteristic
209C2×#123×C43C2211yescharacteristic, complemented
210C2×C22⋊Q8×C43C2211yescharacteristic, complemented
211C2×#121×C43C2211yescharacteristic
212C2×C4×Q8×C43C2211yescharacteristic, complemented
213C2×C4×D4×C43C2211yescharacteristic
214C2×C4×D4×C43C2211yescharacteristic, complemented
215C2×C4×D4×C43C2211yescharacteristic, complemented
216C2×#117×C43C2211yescharacteristic, complemented
217C2×#117×C43C2211yescharacteristic, complemented
218C22×C42×C43C2211yescharacteristic, complemented
219C24×D43C2311yescharacteristic
220C24×D43C2311yescharacteristic
221C2×#10621898—28no—
222C2×#10621898C2318yes—
223C2×#10621900—28no—
224C2×#10621900C2318yes—
225C22×Dic86C2311yescharacteristic
226C22×Dic86C2311yescharacteristic
227C22×Dic86C2311yescharacteristic
228C22×Dic86C2311yescharacteristic
229C22×D172C2311yescharacteristic
230C22×D172C2311yescharacteristic
231C22×D172C2311yescharacteristic
232C22×D172C2311yescharacteristic
233C22×C22⋊D43C2311yescharacteristic
234C22×C22⋊D43C2311yescharacteristic
235C22×C22⋊D43C2311yescharacteristic
236C22×C22⋊D43C2311yescharacteristic
237C22×C22⋊D43C2311yescharacteristic
238C22×C22⋊D43C2311yescharacteristic
239C22×C22⋊D43C2311yescharacteristic
240C22×C22⋊D43C2311yescharacteristic
241C2×D4×D43—28no—
242C2×D4×D43C2318yes—
243C23×Dic43C2311yescharacteristic
244C23×Dic43C2311yescharacteristic
245C23×Dic43C2311yescharacteristic
246C23×Dic43C2311yescharacteristic
247C23×Dic43C2311yescharacteristic
248C23×Dic43C2311yescharacteristic
249C22×C4×D43C2311yescharacteristic
250C22×C4×D43C2311yescharacteristic
251C22×C4×D43C2311yescharacteristic
252C22×C4×D43C2311yescharacteristic
253C22×C4×D43C2311yescharacteristic
254C22×C4×D43C2311yescharacteristic
255C22×C4×D43C2311yescharacteristic
256C22×C4×D43C2311yescharacteristic
257C22×C4×D43C2311yescharacteristic
258C22×C4×D43C2311yescharacteristic
259C22×C4×D43C2311yescharacteristic
260C22×C4×D43C2311yescharacteristic
261#13063324C2318yescomplemented
262#13063323C2318yescomplemented
263#13063320C2318yes—
264#13063320C2318yes—
265#13063320C2318yes—
266#13063320C2318yes—
267#13063320C2318yes—
268#13063320C2318yescomplemented
269#13063319C2318yes—
270#13063319C2318yes—
271#13063319C2318yes—
272#13063319C2318yes—
273#13063319C2318yescomplemented
274#13063319C2318yescomplemented
275#13063319C2318yescomplemented
276#13063319C2318yescomplemented
277#13063319C2318yescomplemented
278#13063319C2318yescomplemented
279#13063318C2318yescomplemented
280#13063318C2318yescomplemented
281#13063318C2318yescomplemented
282#13063318C2318yescomplemented
283#13063317C2318yescomplemented
284#13063316C2318yescomplemented
285#13063315C2318yescomplemented
286#13063315C2318yescomplemented
287#13063315C2318yescomplemented
288#13063315C2318yescomplemented
289#13063315C2318yescomplemented
290#13063315C2318yescomplemented
291#13063314C2318yes—
292#13063313C2318yes—
293#13063311C2318yes—
294#13063311C2318yes—
295#13063311C2318yes—
296#13063311C2318yescomplemented
297#13063310C2318yes—
298#13063310C2318yes—
299#13063310C2318yes—
300#13063310C2318yescomplemented
301#13063310C2318yescomplemented
302#13063310C2318yescomplemented
303#13063309C2318yes—
304#13063309C2318yescomplemented
305#13063308C2318yes—
306#13063308C2318yescomplemented
307#13063307C2318yescomplemented
308#13063307C2318yescomplemented
309#13063307C2318yescomplemented
310#13063307C2318yescomplemented
311#13063306C2318yes—
312#13063306C2318yescomplemented
313#13063305C2318yescomplemented
314#13063304C2318yescomplemented
315#13063303C2318yes—
316#13063303C2318yes—
317#13063303C2318yescomplemented
318#13063303C2318yescomplemented
319#13063303C2318yescomplemented
320#13063303C2318yescomplemented
321#13063302C2318yescomplemented
322#13063302C2318yescomplemented
323#13063302C2318yescomplemented
324#13063302C2318yescomplemented
325#13063301C2318yescomplemented
326#13063301C2318yescomplemented
327#13063300C2318yes—
328#13063299C2318yescomplemented
329#13063298C2318yes—
330#13063298C2318yes—
331#13063298C2318yes—
332#13063298C2318yescomplemented
333#13063297C2318yes—
334#13063297C2318yes—
335#13063297C2318yescomplemented
336#13063297C2318yescomplemented
337#13063295C2318yes—
338#13063295C2318yes—
339#13063293C2318yes—
340#13063293C2318yes—
341C4×Dic86C2318yescomplemented
342C4×Dic86C2318yescomplemented
343C4×Dic86C2318yescomplemented
344#13063290C2318yescomplemented
345#13063290C2318yescomplemented
346#13063290C2318yescomplemented
347C4×D172C2318yes—
348C4×D172C2318yescomplemented
349C4×D172C2318yescomplemented
350D4×Dic43C2318yes—
351D4×Dic43C2318yescomplemented
352#13063287C2318yes—
353#13063287C2318yes—
354#13063287C2318yescomplemented
355C4×C22⋊D43C2318yes—
356C4×C22⋊D43C2318yes—
357C4×C22⋊D43C2318yes—
358C4×C22⋊D43C2318yescomplemented
359C4×C22⋊D43C2318yescomplemented
360C4×C22⋊D43C2318yescomplemented
361(C22⋊D43)⋊C4C2318yes—
362(C22⋊D43)⋊C4C2318yes—
363(C22⋊D43)⋊C4C2318yes—
364(C22⋊D43)⋊C4C2318yes—
365(C22⋊D43)⋊C4C2318yescomplemented
366(C22⋊D43)⋊C4C2318yescomplemented
367(C22⋊D43)⋊C4C2318yescomplemented
368(C22⋊D43)⋊C4C2318yescomplemented
369#13063284C2318yescomplemented
370#13063283C2318yes—
371#13063283C2318yescomplemented
372#13063283C2318yescomplemented
373#13063282C2318yes—
374#13063282C2318yescomplemented
375#13063282C2318yescomplemented
376#13063282C2318yescomplemented
377#13063281C2318yescomplemented
378#13063281C2318yescomplemented
379#13063281C2318yescomplemented
380#13063281C2318yescomplemented
381C2×C4⋊Dic43C2311yescharacteristic
382C2×C4⋊Dic43C2311yescharacteristic
383C2×C4⋊Dic43C2311yescharacteristic
384C2×C4⋊Dic43C2311yescharacteristic
385C2×C4⋊Dic43C2311yescharacteristic
386C2×C4⋊Dic43C2311yescharacteristic
387C2×C4⋊Dic43C2311yescharacteristic
388C2×C4⋊Dic43C2311yescharacteristic
389C2×Dic43⋊C4C2311yescharacteristic
390C2×Dic43⋊C4C2311yescharacteristic
391C2×Dic43⋊C4C2311yescharacteristic
392C2×Dic43⋊C4C2311yescharacteristic
393C2×Dic43⋊C4C2311yescharacteristic
394C2×Dic43⋊C4C2311yescharacteristic
395C2×Dic43⋊C4C2311yescharacteristic
396C2×Dic43⋊C4C2311yescharacteristic
397C2×Dic43⋊C4C2311yescharacteristic
398C2×Dic43⋊C4C2311yescharacteristic
399C2×Dic43⋊C4C2311yescharacteristic
400C2×Dic43⋊C4C2311yescharacteristic
401C2×Dic43⋊C4C2311yescharacteristic
402C2×Dic43⋊C4C2311yescharacteristic
403C2×Dic43⋊C4C2311yescharacteristic
404C2×Dic43⋊C4C2311yescharacteristic
405C2×Dic43⋊C4C2311yescharacteristic
406C2×Dic43⋊C4C2311yescharacteristic
407C2×Dic43⋊C4C2311yescharacteristic
408C2×Dic43⋊C4C2311yescharacteristic
409C2×Dic43⋊C4C2311yescharacteristic
410C2×Dic43⋊C4C2311yescharacteristic
411C2×Dic43⋊C4C2311yescharacteristic
412C2×Dic43⋊C4C2311yescharacteristic
413C2×Dic43⋊C4C2311yescharacteristic
414C2×Dic43⋊C4C2311yescharacteristic
415C2×Dic43⋊C4C2311yescharacteristic
416C2×Dic43⋊C4C2311yescharacteristic
417C2×Dic43⋊C4C2318yescomplemented
418C2×Dic43⋊C4C2318yescomplemented
419C2×Dic43⋊C4C2318yescomplemented
420C2×Dic43⋊C4C2318yescomplemented
421C4⋊C4×D43C2318yescomplemented
422C4⋊C4×D43C2318yescomplemented
423C4⋊C4×D43C2318yescomplemented
424C2×C22⋊Dic43C2311yescharacteristic
425C2×C22⋊Dic43C2311yescharacteristic
426C2×C22⋊Dic43C2311yescharacteristic
427C2×C22⋊Dic43C2311yescharacteristic
428C2×C22⋊Dic43C2311yescharacteristic
429C2×C22⋊Dic43C2311yescharacteristic
430C2×C22⋊Dic43C2311yescharacteristic
431C2×C22⋊Dic43C2311yescharacteristic
432C2×(C2×D43)⋊C4C2318yes—
433C2×(C2×D43)⋊C4C2318yes—
434C2×(C2×D43)⋊C4C2318yes—
435C2×(C2×D43)⋊C4C2311yescharacteristic
436C2×(C2×D43)⋊C4C2311yescharacteristic
437C2×(C2×D43)⋊C4C2311yescharacteristic
438C2×(C2×D43)⋊C4C2311yescharacteristic
439C2×(C2×D43)⋊C4C2311yescharacteristic
440C2×(C2×D43)⋊C4C2311yescharacteristic
441C2×(C2×D43)⋊C4C2311yescharacteristic
442C2×(C2×D43)⋊C4C2311yescharacteristic
443C2×(C2×D43)⋊C4C2311yescharacteristic
444C2×(C2×D43)⋊C4C2311yescharacteristic
445C2×(C2×D43)⋊C4C2311yescharacteristic
446C2×(C2×D43)⋊C4C2311yescharacteristic
447C2×(C2×D43)⋊C4C2311yescharacteristic
448C2×(C2×D43)⋊C4C2311yescharacteristic
449C2×(C2×D43)⋊C4C2318yes—
450C2×(C2×D43)⋊C4C2311yescharacteristic
451C2×(C2×D43)⋊C4C2311yescharacteristic
452C2×(C2×D43)⋊C4C2311yescharacteristic
453C2×(C2×D43)⋊C4C2311yescharacteristic
454C2×(C2×D43)⋊C4C2311yescharacteristic
455C2×(C2×D43)⋊C4C2311yescharacteristic
456C2×(C2×D43)⋊C4C2311yescharacteristic
457C2×(C2×D43)⋊C4C2311yescharacteristic
458C2×(C2×D43)⋊C4C2311yescharacteristic
459C2×(C2×D43)⋊C4C2311yescharacteristic
460C2×(C2×D43)⋊C4C2311yescharacteristic
461C2×(C2×D43)⋊C4C2311yescharacteristic
462C2×(C2×D43)⋊C4C2311yescharacteristic
463C2×(C2×D43)⋊C4C2311yescharacteristic
464C22⋊C4×D43C2318yes—
465C22⋊C4×D43C2318yes—
466C22⋊C4×D43C2318yes—
467C22⋊C4×D43C2318yes—
468C2×C4×Dic43C2311yescharacteristic
469C2×C4×Dic43C2311yescharacteristic
470C2×C4×Dic43C2311yescharacteristic
471C2×C4×Dic43C2311yescharacteristic
472C2×C4×Dic43C2311yescharacteristic
473C2×C4×Dic43C2311yescharacteristic
474C2×C4×Dic43C2311yescharacteristic
475C2×C4×Dic43C2311yescharacteristic
476C2×C4×Dic43C2311yescharacteristic
477C2×C4×Dic43C2311yescharacteristic
478C2×C4×Dic43C2311yescharacteristic
479C2×C4×Dic43C2311yescharacteristic
480C42×D43C2318yescomplemented
481C42×D43C2318yescomplemented
482C22×Q8×C43C2311yescharacteristic
483C22×D4×C43C2311yescharacteristic
484C22×D4×C43C2311yescharacteristic
485C22×D4×C43C2311yescharacteristic
486C23×C4×C43C2311yescharacteristic
487C23×C4×C43C2311yescharacteristic
488C23×C4×C43C2311yescharacteristic
489C23×C4×C43C2311yescharacteristic
490C23×C4×C43C2311yescharacteristic
491#126×C43C2318yescomplemented
492#126×C43C2318yescomplemented
493#125×C43C2318yescomplemented
494#124×C43C2318yescomplemented
495#123×C43C2318yes—
496#123×C43C2318yescomplemented
497C22⋊Q8×C43C2318yescomplemented
498#121×C43C2318yes—
499C4×Q8×C43C2318yescomplemented
500C4×D4×C43C2318yes—
501C4×D4×C43C2318yescomplemented
502C4×D4×C43C2318yescomplemented
503#117×C43C2318yescomplemented
504#117×C43C2318yescomplemented
505C2×C4⋊C4×C43C2311yescharacteristic
506C2×C4⋊C4×C43C2311yescharacteristic
507C2×C4⋊C4×C43C2311yescharacteristic
508C2×C4⋊C4×C43C2311yescharacteristic
509C2×C4⋊C4×C43C2311yescharacteristic
510C2×C4⋊C4×C43C2311yescharacteristic
511C2×C4⋊C4×C43C2311yescharacteristic
512C2×C4⋊C4×C43C2311yescharacteristic
513C2×C4⋊C4×C43C2311yescharacteristic
514C2×C4⋊C4×C43C2311yescharacteristic
515C2×C22⋊C4×C43C2311yescharacteristic
516C2×C22⋊C4×C43C2311yescharacteristic
517C2×C22⋊C4×C43C2311yescharacteristic
518C2×C22⋊C4×C43C2311yescharacteristic
519C2×C22⋊C4×C43C2311yescharacteristic
520C2×C22⋊C4×C43C2311yescharacteristic
521C2×C22⋊C4×C43C2311yescharacteristic
522C2×C22⋊C4×C43C2311yescharacteristic
523C2×C22⋊C4×C43C2311yescharacteristic
524C2×C22⋊C4×C43C2311yescharacteristic
525C2×C42×C43C2311yescharacteristic
526C2×C42×C43C2311yescharacteristic
527C2×C42×C43C2311yescharacteristic
528C2×C42×C43C2311yescharacteristic
529C2×C42×C43C2311yescharacteristic
530C2×C42×C43C2311yescharacteristic
531C2×C42×C43C2318yescomplemented
532C24×C43C2411yescharacteristic
533C24×C43C2411yescharacteristic
534C24×C43C2411yescharacteristic
535C23×D43—24no—
536C23×D43—24no—
537C23×D43—42no—
538C23×D43—42no—
539C23×D43—42no—
540C23×D43—42no—
541C23×D43C2411yescharacteristic
542C23×D43C2411yescharacteristic
543C23×D43C2411yescharacteristic
544C23×D43C2411yescharacteristic
545C23×D43C2414yes—
546C23×D43C2414yes—
547C2×Q8×C43—42no—
548C2×Q8×C43C2414yes—
549C2×D4×C43—24no—
550C2×D4×C43—24no—
551C2×D4×C43—42no—
552C2×D4×C43C2414yes—
553C2×D4×C43C2414yes—
554C2×D4×C43C2414yes—
555C22×C4×C43—24no—
556C22×C4×C43—42no—
557C22×C4×C43—42no—
558C22×C4×C43—42no—
559C22×C4×C43—42no—
560C22×C4×C43C2411yescharacteristic
561C22×C4×C43C2411yescharacteristic
562C22×C4×C43C2411yescharacteristic
563C22×C4×C43C2411yescharacteristic
564C22×C4×C43C2411yescharacteristic
565C22×C4×C43C2411yescharacteristic
566C22×C4×C43C2411yescharacteristic
567C22×C4×C43C2411yescharacteristic
568C22×C4×C43C2411yescharacteristic
569C22×C4×C43C2411yescharacteristic
570C22×C4×C43C2414yes—
571C22×C4×C43C2411yescharacteristic
572C22×C4×C43C2411yescharacteristic
573C22×C4×C43C2414yes—
574C22×C4×C43C2414yes—
575C22×C4×C43C2414yes—
576C22×C4×C43C2414yes—
577C2×C22⋊D43—24no—
578C2×C22⋊D43—24no—
579C2×C22⋊D43—24no—
580C2×C22⋊D43—42no—
581C2×C22⋊D43—42no—
582C2×C22⋊D43—42no—
583C2×C22⋊D43—42no—
584C2×C22⋊D43#4118yes—
585C2×C22⋊D43C2414yes—
586C2×C22⋊D43C2414yes—
587C2×C22⋊D43C2414yes—
588C2×C22⋊D43C2414yes—
589C2×C22⋊D43C2414yes—
590C2×C22⋊D43C2414yes—
591C2×C22⋊D43C2414yes—
592C2×C22⋊D43C2414yes—
593C22×Dic43—24no—
594C22×Dic43—24no—
595C22×Dic43—42no—
596C22×Dic43—42no—
597C22×Dic43—42no—
598C22×Dic43—42no—
599C22×Dic43C2411yescharacteristic
600C22×Dic43C2411yescharacteristic
601C22×Dic43C2411yescharacteristic
602C22×Dic43C2411yescharacteristic
603C22×Dic43C2411yescharacteristic
604C22×Dic43C2411yescharacteristic
605C22×Dic43C2411yescharacteristic
606C22×Dic43C2411yescharacteristic
607C22×Dic43C2411yescharacteristic
608C22×Dic43C2411yescharacteristic
609C22×Dic43C2411yescharacteristic
610C22×Dic43C2414yes—
611C22×Dic43C2414yes—
612C22×Dic43C2414yes—
613C22×Dic43C2414yes—
614C22×Dic43C2414yes—
615C22×Dic43C2414yes—
616C22×Dic43C2411yescharacteristic
617#10621900—232no—
618D4×D43—232no—
619#10621898—232no—
620C2×D172—24no—
621C2×D172—24no—
622C2×D172—42no—
623C2×D172—42no—
624C2×D172C2414yes—
625C2×D172C2414yes—
626C2×D172C2414yes—
627C2×D172C2414yes—
628C2×C4×D43—24no—
629C2×C4×D43—24no—
630C2×C4×D43—24no—
631C2×C4×D43—24no—
632C2×C4×D43—42no—
633C2×C4×D43—42no—
634C2×C4×D43—42no—
635C2×C4×D43—42no—
636C2×C4×D43—42no—
637C2×C4×D43—42no—
638C2×C4×D43—42no—
639C2×C4×D43—42no—
640C2×C4×D43C2414yes—
641C2×C4×D43C2414yes—
642C2×C4×D43C2414yes—
643C2×C4×D43C2414yes—
644C2×C4×D43C2414yes—
645C2×C4×D43C2414yes—
646C2×C4×D43C2414yes—
647C2×C4×D43C2414yes—
648C2×C4×D43C2414yes—
649C2×C4×D43C2414yes—
650C2×C4×D43C2414yes—
651C2×C4×D43C2414yes—
652C2×Dic86—24no—
653C2×Dic86—24no—
654C2×Dic86—42no—
655C2×Dic86—42no—
656C2×Dic86C2414yes—
657C2×Dic86C2414yes—
658C2×Dic86C2414yes—
659C2×Dic86C2414yes—
660C4⋊C4×C43C2414yes—
661C4⋊C4×C43C2414yes—
662C4⋊C4×C43C2414yes—
663C4⋊C4×C43C2414yes—
664C4⋊C4×C43C2414yes—
665C4⋊C4×C43C2414yes—
666C4⋊C4×C43C2414yes—
667C4⋊C4×C43C2414yes—
668C4⋊C4×C43C2414yes—
669C4⋊C4×C43C2414yes—
670C22⋊C4×C43C2414yes—
671C22⋊C4×C43C2414yes—
672C22⋊C4×C43C2414yes—
673C22⋊C4×C43C2414yes—
674C22⋊C4×C43C2414yes—
675C22⋊C4×C43C2414yes—
676C22⋊C4×C43C2414yes—
677C22⋊C4×C43C2414yes—
678C22⋊C4×C43C2414yes—
679C22⋊C4×C43C2414yes—
680C42×C43C2414yes—
681C42×C43C2414yes—
682C42×C43C2414yes—
683C42×C43C2414yes—
684C42×C43C2414yes—
685C42×C43C2414yes—
686C22⋊Dic43C2414yes—
687C22⋊Dic43C2414yes—
688C22⋊Dic43C2414yes—
689C22⋊Dic43C2414yes—
690C22⋊Dic43C2414yes—
691C22⋊Dic43C2414yes—
692C22⋊Dic43C2414yes—
693C22⋊Dic43C2414yes—
694(C2×D43)⋊C4C2414yes—
695(C2×D43)⋊C4C2414yes—
696(C2×D43)⋊C4C2414yes—
697(C2×D43)⋊C4C2414yes—
698(C2×D43)⋊C4C2414yes—
699(C2×D43)⋊C4C2414yes—
700(C2×D43)⋊C4C2414yes—
701(C2×D43)⋊C4C2414yes—
702(C2×D43)⋊C4C2414yes—
703(C2×D43)⋊C4C2414yes—
704(C2×D43)⋊C4C2414yes—
705(C2×D43)⋊C4C2414yes—
706(C2×D43)⋊C4C2414yes—
707(C2×D43)⋊C4C2414yes—
708(C2×D43)⋊C4C2414yes—
709(C2×D43)⋊C4C2414yes—
710(C2×D43)⋊C4C2414yes—
711(C2×D43)⋊C4C2414yes—
712(C2×D43)⋊C4C2414yes—
713(C2×D43)⋊C4C2414yes—
714(C2×D43)⋊C4C2414yes—
715(C2×D43)⋊C4C2414yes—
716(C2×D43)⋊C4C2414yes—
717(C2×D43)⋊C4C2414yes—
718(C2×D43)⋊C4C2414yes—
719(C2×D43)⋊C4C2414yes—
720(C2×D43)⋊C4C2414yes—
721(C2×D43)⋊C4C2414yes—
722C4⋊Dic43C2414yes—
723C4⋊Dic43C2414yes—
724C4⋊Dic43C2414yes—
725C4⋊Dic43C2414yes—
726C4⋊Dic43C2414yes—
727C4⋊Dic43C2414yes—
728C4⋊Dic43C2414yes—
729C4⋊Dic43C2414yes—
730Dic43⋊C4C2414yes—
731Dic43⋊C4C2414yes—
732Dic43⋊C4C2414yes—
733Dic43⋊C4C2414yes—
734Dic43⋊C4C2414yes—
735Dic43⋊C4C2414yes—
736Dic43⋊C4C2414yes—
737Dic43⋊C4C2414yes—
738Dic43⋊C4C2414yes—
739Dic43⋊C4C2414yes—
740Dic43⋊C4C2414yes—
741Dic43⋊C4C2414yes—
742Dic43⋊C4C2414yes—
743Dic43⋊C4C2414yes—
744Dic43⋊C4C2414yes—
745Dic43⋊C4C2414yes—
746Dic43⋊C4C2414yes—
747Dic43⋊C4C2414yes—
748Dic43⋊C4C2414yes—
749Dic43⋊C4C2414yes—
750Dic43⋊C4C2414yes—
751Dic43⋊C4C2414yes—
752Dic43⋊C4C2414yes—
753Dic43⋊C4C2414yes—
754Dic43⋊C4C2414yes—
755Dic43⋊C4C2414yes—
756Dic43⋊C4C2414yes—
757Dic43⋊C4C2414yes—
758C4×Dic43C2414yes—
759C4×Dic43C2414yes—
760C4×Dic43C2414yes—
761C4×Dic43C2414yes—
762C4×Dic43C2414yes—
763C4×Dic43C2414yes—
764C4×Dic43C2414yes—
765C4×Dic43C2414yes—
766C4×Dic43C2414yes—
767C4×Dic43C2414yes—
768C4×Dic43C2414yes—
769C4×Dic43C2414yes—
770C23×C43—22no—
771C23×C43—22no—
772C23×C43—22no—
773C23×C43—22no—
774C23×C43—22no—
775C23×C43—22no—
776C23×C43—22no—
777C23×C43—22no—
778C23×C43C2×#4114yes—
779C23×C43C2512yes—
780C23×C43C2512yes—
781C23×C43C2512yes—
782C23×C43C2511yescharacteristic
783C22×D43—22no—
784C22×D43—22no—
785C22×D43—22no—
786C22×D43—22no—
787C22×D43—22no—
788C22×D43—22no—
789C22×D43—22no—
790C22×D43—22no—
791C22×D43—22no—
792C22×D43—22no—
793C22×D43—22no—
794C22×D43—28no—
795C22×D43—28no—
796C22×D43—44no—
797C22×D43—44no—
798C22×D43—44no—
799C22×D43—44no—
800C22×D43—88no—
801C22×D43—88no—
802C22×D43C2×#4114yes—
803C22×D43C2512yes—
804C22×D43C2512yes—
805C22×D43C2512yes—
806C22×D43C2512yes—
807Q8×C43—44no—
808D4×C43—28no—
809D4×C43—28no—
810D4×C43—44no—
811C2×C4×C43—22no—
812C2×C4×C43—22no—
813C2×C4×C43—22no—
814C2×C4×C43—22no—
815C2×C4×C43—28no—
816C2×C4×C43—22no—
817C2×C4×C43—22no—
818C2×C4×C43—22no—
819C2×C4×C43—22no—
820C2×C4×C43—22no—
821C2×C4×C43—22no—
822C2×C4×C43—22no—
823C2×C4×C43—22no—
824C2×C4×C43—44no—
825C2×C4×C43—44no—
826C2×C4×C43—44no—
827C2×C4×C43—44no—
828C2×C4×C43C2512yes—
829C2×C4×C43C2512yes—
830C2×C4×C43C2512yes—
831C2×C4×C43C2512yes—
832C2×C4×C43C2512yes—
833C2×C4×C43C2512yes—
834C2×C4×C43C2512yes—
835C2×C4×C43C2512yes—
836C2×C4×C43C2512yes—
837C2×C4×C43C2512yes—
838C2×C4×C43C2512yes—
839C2×C4×C43C2512yes—
840C22⋊D43—28no—
841C22⋊D43—28no—
842C22⋊D43—28no—
843C22⋊D43—44no—
844C22⋊D43—44no—
845C22⋊D43—44no—
846C22⋊D43—44no—
847C22⋊D43C2×#41116yes—
848C2×Dic43—22no—
849C2×Dic43—22no—
850C2×Dic43—22no—
851C2×Dic43—28no—
852C2×Dic43—22no—
853C2×Dic43—22no—
854C2×Dic43—22no—
855C2×Dic43—22no—
856C2×Dic43—22no—
857C2×Dic43—22no—
858C2×Dic43—22no—
859C2×Dic43—22no—
860C2×Dic43—28no—
861C2×Dic43—44no—
862C2×Dic43—44no—
863C2×Dic43—44no—
864C2×Dic43—44no—
865C2×Dic43C2×#4114yes—
866C2×Dic43C2512yes—
867C2×Dic43C2512yes—
868C2×Dic43C2512yes—
869C2×Dic43C2512yes—
870C2×Dic43C2512yes—
871C2×Dic43C2512yes—
872C2×Dic43C2512yes—
873C2×Dic43C2512yes—
874C2×Dic43C2512yes—
875C2×Dic43C2512yes—
876C2×Dic43C2512yes—
877C2×Dic43C2512yes—
878D172—28no—
879D172—28no—
880D172—44no—
881D172—44no—
882C4×D43—28no—
883C4×D43—28no—
884C4×D43—28no—
885C4×D43—28no—
886C4×D43—44no—
887C4×D43—44no—
888C4×D43—44no—
889C4×D43—44no—
890C4×D43—44no—
891C4×D43—44no—
892C4×D43—44no—
893C4×D43—44no—
894Dic86—28no—
895Dic86—28no—
896Dic86—44no—
897Dic86—44no—
898C2×#3521—431nomaximal, Sylow
899C22×C43—22no—
900C22×C43—22no—
901C22×C43—28no—
902C22×C43—22no—
903C22×C43—22no—
904C22×C43—22no—
905C22×C43—22no—
906C22×C43—22no—
907C22×C43—22no—
908C22×C43—44no—
909C22×C43—44no—
910C22×C43C22×#4114yes—
911C22×C43C22×#4112yes—
912C22×C43#58512yes—
913C22×C43#58512yes—
914C22×C43C2611yescharacteristic
915C2×D43—22no—
916C2×D43—22no—
917C2×D43—28no—
918C2×D43—22no—
919C2×D43—22no—
920C2×D43—22no—
921C2×D43—22no—
922C2×D43—22no—
923C2×D43—22no—
924C2×D43—22no—
925C2×D43—22no—
926C2×D43—22no—
927C2×D43—44no—
928C2×D43—44no—
929C2×D43—44no—
930C2×D43—88no—
931C2×D43—88no—
932C2×D43C22×#4114yes—
933C4×C43—22no—
934C4×C43—22no—
935C4×C43—22no—
936C4×C43—22no—
937C4×C43—22no—
938C4×C43—22no—
939C4×C43—22no—
940C4×C43—22no—
941C4×C43—22no—
942C4×C43—22no—
943C4×C43—22no—
944C4×C43—22no—
945Dic43—22no—
946Dic43—22no—
947Dic43—22no—
948Dic43—22no—
949Dic43—22no—
950Dic43—22no—
951Dic43—22no—
952Dic43—22no—
953Dic43—22no—
954Dic43—22no—
955Dic43—22no—
956Dic43C22×#4114yes—
957#3521—4332no—
958C2×#556—431no—
959C2×#556—431no—
960C2×#554—431no—
961C2×#553—431no—
962C2×#553—431no—
963C2×#553—431no—
964C2×#552—431no—
965C2×#552—431no—
966C2×#552—431no—
967C2×#551—431no—
968C2×#551—431no—
969C2×#551—431no—
970C2×#551—431no—
971C2×#547—431no—
972C2×#546—431no—
973C2×#546—431no—
974C2×#542—431no—
975C2×#541—431no—
976C2×#539—431no—
977C2×#539—431no—
978C2×#538—431no—
979C2×#538—431no—
980C2×#529—431no—
981C2×#529—431no—
982C2×#529—431no—
983C2×#529D4311yescharacteristic, complemented
984C22×#126—431no—
985C22×#126—431no—
986C2×#520—431no—
987C2×#518—431no—
988C2×C4×#41—431no—
989C2×C43—24no—
990C2×C43—42no—
991C2×C43—42no—
992C2×C43#352114yescomplemented
993C2×C43C23×#4111yescharacteristic
994C2×C43C2×#58511yescharacteristic
995C2×C43C2×#58511yescharacteristic
996D43—24no—
997D43—42no—
998D43—42no—
999D43—42no—
1000C22×#41—431no—
1001C22×#41—431no—
1002C23×D4—431no—
1003#556—4316no—
1004#556—4316no—
1005#554—4316no—
1006#553—4316no—
1007#553—4316no—
1008#553—4316no—
1009#552—4316no—
1010#552—4316no—
1011#552—4316no—
1012#551—4316no—
1013#551—4316no—
1014#551—4316no—
1015#551—4316no—
1016#547—4316no—
1017#546—4316no—
1018#546—4316no—
1019#542—4316no—
1020#541—4316no—
1021#539—4316no—
1022#539—4316no—
1023#538—4316no—
1024#538—4316no—
1025C2×C4⋊Q8—431no—
1026C2×C4⋊Q8—431no—
1027#529—4316no—
1028#529—4316no—
1029#529—4316no—
1030#529C2×D43116yescomplemented
1031C2×#126—4316no—
1032C2×#126—431no—
1033C2×#126—431no—
1034C2×#126—431no—
1035C2×#126—431no—
1036C2×#126—431no—
1037C2×#126—431no—
1038C2×#126—431no—
1039C2×#126—431no—
1040C2×#126—431no—
1041C2×#126—431no—
1042C2×#126—431no—
1043C2×#126—431no—
1044C2×#126—431no—
1045C2×#126—431no—
1046C2×#126—431no—
1047C2×#126—431no—
1048C2×#126—431no—
1049C2×#126—431no—
1050C2×#126—431no—
1051C2×#126—431no—
1052C2×#126—4316no—
1053C2×#126C2×D4311yescharacteristic, complemented
1054C2×#126C2×D4311yescharacteristic, complemented
1055C2×#125—431no—
1056C2×#125—431no—
1057C2×#125—431no—
1058C2×#125—431no—
1059C2×#125—431no—
1060C2×#125—431no—
1061C2×#125—431no—
1062C2×#125—431no—
1063C2×#125C2×D4311yescharacteristic, complemented
1064C2×#124—431no—
1065C2×#124—431no—
1066C2×#124—431no—
1067C2×#124—431no—
1068C2×#124—431no—
1069C2×#124—431no—
1070C2×#124C2×D4311yescharacteristic, complemented
1071C2×#123—431no—
1072C2×#123—431no—
1073C2×#123—431no—
1074C2×#123—431no—
1075C2×#123—431no—
1076C2×#123—431no—
1077C2×#123—431no—
1078C2×#123—431no—
1079C2×#123—431no—
1080C2×#123—431no—
1081C2×#123—431no—
1082C2×#123—431no—
1083C2×#123—431no—
1084C2×#123—431no—
1085C2×#123—431no—
1086C2×#123—431no—
1087C2×#123C2×D4311yescharacteristic
1088C2×#123C2×D4311yescharacteristic, complemented
1089C2×C22⋊Q8—431no—
1090C2×C22⋊Q8—431no—
1091C2×C22⋊Q8—431no—
1092C2×C22⋊Q8—431no—
1093C2×C22⋊Q8—431no—
1094C2×C22⋊Q8—431no—
1095C2×C22⋊Q8—431no—
1096C2×C22⋊Q8—431no—
1097C2×C22⋊Q8—431no—
1098C2×C22⋊Q8—431no—
1099C2×C22⋊Q8—431no—
1100C2×C22⋊Q8—431no—
1101C2×C22⋊Q8—431no—
1102C2×C22⋊Q8—431no—
1103C2×C22⋊Q8C2×D4311yescharacteristic, complemented
1104C2×#121—431no—
1105C2×#121—431no—
1106C2×#121—431no—
1107C2×#121—431no—
1108C2×#121—431no—
1109C2×#121—431no—
1110C2×#121—431no—
1111C2×#121—431no—
1112C2×#121—431no—
1113C2×#121—431no—
1114C2×#121C2×D4311yescharacteristic
1115C2×#120—431no—
1116C2×#120—431no—
1117C2×#120—431no—
1118C2×#120—431no—
1119#520—4316no—
1120#518—4316no—
1121C4×#41—4316no—
1122C2×C4×Q8—431no—
1123C2×C4×Q8—431no—
1124C2×C4×Q8—431no—
1125C2×C4×Q8—431no—
1126C2×C4×Q8—431no—
1127C2×C4×Q8—431no—
1128C2×C4×Q8C2×D4311yescharacteristic, complemented
1129C2×C4×D4—431no—
1130C2×C4×D4—431no—
1131C2×C4×D4—431no—
1132C2×C4×D4—431no—
1133C2×C4×D4—431no—
1134C2×C4×D4—431no—
1135C2×C4×D4—431no—
1136C2×C4×D4—431no—
1137C2×C4×D4—431no—
1138C2×C4×D4—431no—
1139C2×C4×D4—431no—
1140C2×C4×D4—431no—
1141C2×C4×D4—431no—
1142C2×C4×D4—431no—
1143C2×C4×D4—431no—
1144C2×C4×D4—431no—
1145C2×C4×D4—431no—
1146C2×C4×D4—431no—
1147C2×C4×D4—431no—
1148C2×C4×D4—431no—
1149C2×C4×D4—431no—
1150C2×C4×D4—431no—
1151C2×C4×D4C2×D4311yescharacteristic
1152C2×C4×D4C2×D4311yescharacteristic, complemented
1153C2×C4×D4C2×D4311yescharacteristic, complemented
1154C2×#117—431no—
1155C2×#117—431no—
1156C2×#117—431no—
1157C2×#117—431no—
1158C2×#117—431no—
1159C2×#117—431no—
1160C2×#117—431no—
1161C2×#117—431no—
1162C2×#117—431no—
1163C2×#117—431no—
1164C2×#117—431no—
1165C2×#117—431no—
1166C2×#117C2×D4311yescharacteristic, complemented
1167C2×#117C2×D4311yescharacteristic, complemented
1168C22×C4⋊C4—431no—
1169C22×C4⋊C4—431no—
1170C22×C4⋊C4—431no—
1171C22×C4⋊C4—431no—
1172C22×C4⋊C4—431no—
1173C22×C4⋊C4—431no—
1174C22×C4⋊C4—431no—
1175C22×C22⋊C4—431no—
1176C22×C22⋊C4—431no—
1177C22×C22⋊C4—431no—
1178C22×C22⋊C4—431no—
1179C22×C22⋊C4—431no—
1180C22×C22⋊C4—431no—
1181C22×C22⋊C4—431no—
1182C22×C22⋊C4—431no—
1183C22×C42—431no—
1184C22×C42—431no—
1185C22×C42C2×D4311yescharacteristic, complemented
1186C43C2×#352111yescharacteristic, complemented, Sylow
1187C25—431no—
1188C25—431no—
1189C2×#41—438no—
1190C2×#41—438no—
1191C2×#41—868no—
1192C2×#41—868no—
1193C22×Q8—431no—
1194C22×Q8—431no—
1195C22×Q8—431no—
1196C22×Q8—431no—
1197C22×Q8C22×D4311yescharacteristic
1198C22×D4—431no—
1199C22×D4—431no—
1200C22×D4—431no—
1201C22×D4—431no—
1202C22×D4—431no—
1203C22×D4—431no—
1204C22×D4—431no—
1205C22×D4—431no—
1206C22×D4—438no—
1207C22×D4—431no—
1208C22×D4—431no—
1209C22×D4—431no—
1210C22×D4—431no—
1211C22×D4—868no—
1212C22×D4C22×D4311yescharacteristic
1213C22×D4C22×D4311yescharacteristic
1214C22×D4C22×D4311yescharacteristic
1215C23×C4—431no—
1216C23×C4—431no—
1217C23×C4—431no—
1218C23×C4—431no—
1219C23×C4—431no—
1220C23×C4—431no—
1221C23×C4—431no—
1222C23×C4—431no—
1223C23×C4—431no—
1224C23×C4—431no—
1225C23×C4—431no—
1226C23×C4—431no—
1227C23×C4—431no—
1228C23×C4—431no—
1229C23×C4—431no—
1230C23×C4—431no—
1231C23×C4—431no—
1232C23×C4—431no—
1233C23×C4C22×D4311yescharacteristic
1234C23×C4C22×D4311yescharacteristic
1235C23×C4C22×D4311yescharacteristic
1236C23×C4C22×D4311yescharacteristic
1237C23×C4C22×D4311yescharacteristic
1238C4⋊Q8—438no—
1239C4⋊Q8—438no—
1240#126—438no—
1241#126—438no—
1242#126—438no—
1243#126—438no—
1244#126—438no—
1245#126—438no—
1246#126—438no—
1247#126—438no—
1248#126—438no—
1249#126—438no—
1250#126—438no—
1251#126—438no—
1252#126—438no—
1253#126—438no—
1254#126—438no—
1255#126—438no—
1256#126—438no—
1257#126—438no—
1258#126—438no—
1259#126—438no—
1260#126C22×D4318yescomplemented
1261#126C22×D4318yescomplemented
1262#125—438no—
1263#125—438no—
1264#125—438no—
1265#125—438no—
1266#125—438no—
1267#125—438no—
1268#125—438no—
1269#125—438no—
1270#125C22×D4318yescomplemented
1271#124—438no—
1272#124—438no—
1273#124—438no—
1274#124—438no—
1275#124—438no—
1276#124—438no—
1277#124C22×D4318yescomplemented
1278#123—438no—
1279#123—438no—
1280#123—438no—
1281#123—438no—
1282#123—438no—
1283#123—438no—
1284#123—438no—
1285#123—438no—
1286#123—438no—
1287#123—438no—
1288#123—438no—
1289#123—438no—
1290#123—438no—
1291#123—438no—
1292#123—438no—
1293#123—438no—
1294#123C22×D4318yes—
1295#123C22×D4318yescomplemented
1296C22⋊Q8—438no—
1297C22⋊Q8—438no—
1298C22⋊Q8—438no—
1299C22⋊Q8—438no—
1300C22⋊Q8—438no—
1301C22⋊Q8—438no—
1302C22⋊Q8—438no—
1303C22⋊Q8—438no—
1304C22⋊Q8—438no—
1305C22⋊Q8—438no—
1306C22⋊Q8—438no—
1307C22⋊Q8—438no—
1308C22⋊Q8—438no—
1309C22⋊Q8—438no—
1310C22⋊Q8C22×D4318yescomplemented
1311#121—438no—
1312#121—438no—
1313#121—438no—
1314#121—438no—
1315#121—438no—
1316#121—438no—
1317#121—438no—
1318#121—438no—
1319#121—438no—
1320#121—438no—
1321#121C22×D4318yes—
1322#120—438no—
1323#120—438no—
1324#120—438no—
1325#120—438no—
1326C4×Q8—438no—
1327C4×Q8—438no—
1328C4×Q8—438no—
1329C4×Q8—438no—
1330C4×Q8—438no—
1331C4×Q8—438no—
1332C4×Q8C22×D4318yescomplemented
1333C4×D4—438no—
1334C4×D4—438no—
1335C4×D4—438no—
1336C4×D4—438no—
1337C4×D4—438no—
1338C4×D4—438no—
1339C4×D4—438no—
1340C4×D4—438no—
1341C4×D4—438no—
1342C4×D4—438no—
1343C4×D4—438no—
1344C4×D4—438no—
1345C4×D4—438no—
1346C4×D4—438no—
1347C4×D4—438no—
1348C4×D4—438no—
1349C4×D4—438no—
1350C4×D4—438no—
1351C4×D4—438no—
1352C4×D4—438no—
1353C4×D4—438no—
1354C4×D4—438no—
1355C4×D4C22×D4318yes—
1356C4×D4C22×D4318yescomplemented
1357C4×D4C22×D4318yescomplemented
1358#117—438no—
1359#117—438no—
1360#117—438no—
1361#117—438no—
1362#117—438no—
1363#117—438no—
1364#117—438no—
1365#117—438no—
1366#117—438no—
1367#117—438no—
1368#117—438no—
1369#117—438no—
1370#117C22×D4318yescomplemented
1371#117C22×D4318yescomplemented
1372C2×C4⋊C4—431no—
1373C2×C4⋊C4—431no—
1374C2×C4⋊C4—431no—
1375C2×C4⋊C4—431no—
1376C2×C4⋊C4—431no—
1377C2×C4⋊C4—431no—
1378C2×C4⋊C4—431no—
1379C2×C4⋊C4—431no—
1380C2×C4⋊C4—431no—
1381C2×C4⋊C4—431no—
1382C2×C4⋊C4—431no—
1383C2×C4⋊C4—431no—
1384C2×C4⋊C4—438no—
1385C2×C4⋊C4—438no—
1386C2×C4⋊C4—431no—
1387C2×C4⋊C4—431no—
1388C2×C4⋊C4—431no—
1389C2×C4⋊C4—431no—
1390C2×C4⋊C4—431no—
1391C2×C4⋊C4—431no—
1392C2×C4⋊C4—431no—
1393C2×C4⋊C4—431no—
1394C2×C4⋊C4—438no—
1395C2×C4⋊C4—438no—
1396C2×C4⋊C4—431no—
1397C2×C4⋊C4—431no—
1398C2×C4⋊C4—431no—
1399C2×C4⋊C4—431no—
1400C2×C4⋊C4—431no—
1401C2×C4⋊C4—431no—
1402C2×C4⋊C4—431no—
1403C2×C4⋊C4—431no—
1404C2×C4⋊C4—431no—
1405C2×C4⋊C4—431no—
1406C2×C4⋊C4—431no—
1407C2×C4⋊C4—431no—
1408C2×C4⋊C4—431no—
1409C2×C4⋊C4—431no—
1410C2×C4⋊C4—431no—
1411C2×C4⋊C4—431no—
1412C2×C4⋊C4—438no—
1413C2×C4⋊C4—438no—
1414C2×C4⋊C4—438no—
1415C2×C4⋊C4C22×D4311yescharacteristic
1416C2×C4⋊C4C22×D4311yescharacteristic
1417C2×C4⋊C4C22×D4311yescharacteristic
1418C2×C4⋊C4C22×D4311yescharacteristic
1419C2×C4⋊C4C22×D4311yescharacteristic
1420C2×C4⋊C4C22×D4311yescharacteristic
1421C2×C4⋊C4C22×D4311yescharacteristic
1422C2×C4⋊C4C22×D4311yescharacteristic
1423C2×C4⋊C4C22×D4311yescharacteristic
1424C2×C4⋊C4C22×D4311yescharacteristic
1425C2×C22⋊C4—431no—
1426C2×C22⋊C4—431no—
1427C2×C22⋊C4—431no—
1428C2×C22⋊C4—431no—
1429C2×C22⋊C4—431no—
1430C2×C22⋊C4—431no—
1431C2×C22⋊C4—431no—
1432C2×C22⋊C4—431no—
1433C2×C22⋊C4—431no—
1434C2×C22⋊C4—431no—
1435C2×C22⋊C4—431no—
1436C2×C22⋊C4—431no—
1437C2×C22⋊C4—431no—
1438C2×C22⋊C4—431no—
1439C2×C22⋊C4—431no—
1440C2×C22⋊C4—431no—
1441C2×C22⋊C4—431no—
1442C2×C22⋊C4—431no—
1443C2×C22⋊C4—431no—
1444C2×C22⋊C4—431no—
1445C2×C22⋊C4—438no—
1446C2×C22⋊C4—438no—
1447C2×C22⋊C4—431no—
1448C2×C22⋊C4—431no—
1449C2×C22⋊C4—431no—
1450C2×C22⋊C4—431no—
1451C2×C22⋊C4—431no—
1452C2×C22⋊C4—431no—
1453C2×C22⋊C4—438no—
1454C2×C22⋊C4—438no—
1455C2×C22⋊C4—431no—
1456C2×C22⋊C4—431no—
1457C2×C22⋊C4—431no—
1458C2×C22⋊C4—431no—
1459C2×C22⋊C4—431no—
1460C2×C22⋊C4—431no—
1461C2×C22⋊C4—431no—
1462C2×C22⋊C4—431no—
1463C2×C22⋊C4—431no—
1464C2×C22⋊C4—431no—
1465C2×C22⋊C4—438no—
1466C2×C22⋊C4—438no—
1467C2×C22⋊C4—438no—
1468C2×C22⋊C4—438no—
1469C2×C22⋊C4C22×D4311yescharacteristic
1470C2×C22⋊C4C22×D4311yescharacteristic
1471C2×C22⋊C4C22×D4311yescharacteristic
1472C2×C22⋊C4C22×D4311yescharacteristic
1473C2×C22⋊C4C22×D4311yescharacteristic
1474C2×C22⋊C4C22×D4311yescharacteristic
1475C2×C22⋊C4C22×D4311yescharacteristic
1476C2×C22⋊C4C22×D4311yescharacteristic
1477C2×C22⋊C4C22×D4311yescharacteristic
1478C2×C22⋊C4C22×D4311yescharacteristic
1479C2×C42—431no—
1480C2×C42—431no—
1481C2×C42—431no—
1482C2×C42—431no—
1483C2×C42—431no—
1484C2×C42—431no—
1485C2×C42—431no—
1486C2×C42—431no—
1487C2×C42—431no—
1488C2×C42—431no—
1489C2×C42—431no—
1490C2×C42—431no—
1491C2×C42—438no—
1492C2×C42—438no—
1493C2×C42C22×D4311yescharacteristic
1494C2×C42C22×D4311yescharacteristic
1495C2×C42C22×D4311yescharacteristic
1496C2×C42C22×D4311yescharacteristic
1497C2×C42C22×D4311yescharacteristic
1498C2×C42C22×D4311yescharacteristic
1499C2×C42C22×D4318yescomplemented
1500C24—431no—
1501C24—431no—
1502C24—431no—
1503C24—431no—
1504C24—434no—
1505C24—434no—
1506C24—864no—
1507C24—864no—
1508C24—1722no—
1509C24—1722no—
1510C24—1722no—
1511C24—1722no—
1512C24C23×D4311yescharacteristic
1513C24C23×D4311yescharacteristic
1514C24C23×D4311yescharacteristic
1515#41—8632no—
1516#41—8632no—
1517C2×Q8—42no—
1518C2×Q8—434no—
1519C2×Q8—434no—
1520C2×Q8—434no—
1521C2×Q8—434no—
1522C2×Q8—864no—
1523C2×Q8—864no—
1524C2×Q8—1722no—
1525C2×Q8—1722no—
1526C2×Q8C23×D4314yes—
1527C2×D4—24no—
1528C2×D4—24no—
1529C2×D4—42no—
1530C2×D4—438no—
1531C2×D4—434no—
1532C2×D4—434no—
1533C2×D4—434no—
1534C2×D4—434no—
1535C2×D4—434no—
1536C2×D4—434no—
1537C2×D4—434no—
1538C2×D4—434no—
1539C2×D4—434no—
1540C2×D4—434no—
1541C2×D4—434no—
1542C2×D4—434no—
1543C2×D4—864no—
1544C2×D4—864no—
1545C2×D4—864no—
1546C2×D4—8632no—
1547C2×D4—864no—
1548C2×D4—864no—
1549C2×D4—1722no—
1550C2×D4—1722no—
1551C2×D4—1722no—
1552C2×D4—1722no—
1553C2×D4—1722no—
1554C2×D4—1722no—
1555C2×D4C23×D4314yes—
1556C2×D4C23×D4314yes—
1557C2×D4C23×D4314yes—
1558C22×C4—24no—
1559C22×C4—42no—
1560C22×C4—42no—
1561C22×C4—42no—
1562C22×C4—42no—
1563C22×C4—431no—
1564C22×C4—434no—
1565C22×C4—434no—
1566C22×C4—431no—
1567C22×C4—431no—
1568C22×C4—431no—
1569C22×C4—431no—
1570C22×C4—431no—
1571C22×C4—431no—
1572C22×C4—431no—
1573C22×C4—431no—
1574C22×C4—431no—
1575C22×C4—431no—
1576C22×C4—431no—
1577C22×C4—434no—
1578C22×C4—434no—
1579C22×C4—434no—
1580C22×C4—434no—
1581C22×C4—434no—
1582C22×C4—434no—
1583C22×C4—434no—
1584C22×C4—434no—
1585C22×C4—434no—
1586C22×C4—434no—
1587C22×C4—434no—
1588C22×C4—434no—
1589C22×C4—434no—
1590C22×C4—434no—
1591C22×C4—434no—
1592C22×C4—434no—
1593C22×C4—864no—
1594C22×C4—864no—
1595C22×C4—864no—
1596C22×C4—864no—
1597C22×C4—864no—
1598C22×C4—864no—
1599C22×C4—1722no—
1600C22×C4—1722no—
1601C22×C4—1722no—
1602C22×C4—1722no—
1603C22×C4—1722no—
1604C22×C4—1722no—
1605C22×C4—1722no—
1606C22×C4—1722no—
1607C22×C4—1722no—
1608C22×C4—1722no—
1609C22×C4—1722no—
1610C22×C4—1722no—
1611C22×C4C23×D4314yes—
1612C22×C4C23×D4311yescharacteristic
1613C22×C4C23×D4311yescharacteristic
1614C22×C4C23×D4311yescharacteristic
1615C22×C4C23×D4311yescharacteristic
1616C22×C4C23×D4311yescharacteristic
1617C22×C4C23×D4311yescharacteristic
1618C22×C4C23×D4311yescharacteristic
1619C22×C4C23×D4311yescharacteristic
1620C22×C4C23×D4311yescharacteristic
1621C22×C4C23×D4311yescharacteristic
1622C22×C4C23×D4311yescharacteristic
1623C22×C4C23×D4311yescharacteristic
1624C22×C4C23×D4314yes—
1625C22×C4C23×D4314yes—
1626C22×C4C23×D4314yes—
1627C22×C4C23×D4314yes—
1628C4⋊C4—434no—
1629C4⋊C4—434no—
1630C4⋊C4—434no—
1631C4⋊C4—434no—
1632C4⋊C4—434no—
1633C4⋊C4—434no—
1634C4⋊C4—434no—
1635C4⋊C4—434no—
1636C4⋊C4—434no—
1637C4⋊C4—434no—
1638C4⋊C4—434no—
1639C4⋊C4—434no—
1640C4⋊C4—434no—
1641C4⋊C4—434no—
1642C4⋊C4—434no—
1643C4⋊C4—434no—
1644C4⋊C4—434no—
1645C4⋊C4—434no—
1646C4⋊C4—434no—
1647C4⋊C4—434no—
1648C4⋊C4—434no—
1649C4⋊C4—434no—
1650C4⋊C4—434no—
1651C4⋊C4—434no—
1652C4⋊C4—434no—
1653C4⋊C4—434no—
1654C4⋊C4—434no—
1655C4⋊C4—434no—
1656C4⋊C4—434no—
1657C4⋊C4—434no—
1658C4⋊C4—434no—
1659C4⋊C4—434no—
1660C4⋊C4—434no—
1661C4⋊C4—434no—
1662C4⋊C4—434no—
1663C4⋊C4—434no—
1664C4⋊C4C23×D4314yes—
1665C4⋊C4C23×D4314yes—
1666C4⋊C4C23×D4314yes—
1667C4⋊C4C23×D4314yes—
1668C4⋊C4C23×D4314yes—
1669C4⋊C4C23×D4314yes—
1670C4⋊C4C23×D4314yes—
1671C4⋊C4C23×D4314yes—
1672C4⋊C4C23×D4314yes—
1673C4⋊C4C23×D4314yes—
1674C22⋊C4—434no—
1675C22⋊C4—434no—
1676C22⋊C4—434no—
1677C22⋊C4—434no—
1678C22⋊C4—434no—
1679C22⋊C4—434no—
1680C22⋊C4—434no—
1681C22⋊C4—434no—
1682C22⋊C4—434no—
1683C22⋊C4—434no—
1684C22⋊C4—434no—
1685C22⋊C4—434no—
1686C22⋊C4—434no—
1687C22⋊C4—434no—
1688C22⋊C4—434no—
1689C22⋊C4—434no—
1690C22⋊C4—434no—
1691C22⋊C4—434no—
1692C22⋊C4—434no—
1693C22⋊C4—434no—
1694C22⋊C4—434no—
1695C22⋊C4—434no—
1696C22⋊C4—434no—
1697C22⋊C4—434no—
1698C22⋊C4—434no—
1699C22⋊C4—434no—
1700C22⋊C4—434no—
1701C22⋊C4—434no—
1702C22⋊C4—434no—
1703C22⋊C4—434no—
1704C22⋊C4—434no—
1705C22⋊C4—434no—
1706C22⋊C4—434no—
1707C22⋊C4—434no—
1708C22⋊C4—434no—
1709C22⋊C4—434no—
1710C22⋊C4C23×D4314yes—
1711C22⋊C4C23×D4314yes—
1712C22⋊C4C23×D4314yes—
1713C22⋊C4C23×D4314yes—
1714C22⋊C4C23×D4314yes—
1715C22⋊C4C23×D4314yes—
1716C22⋊C4C23×D4314yes—
1717C22⋊C4C23×D4314yes—
1718C22⋊C4C23×D4314yes—
1719C22⋊C4C23×D4314yes—
1720C42—434no—
1721C42—434no—
1722C42—434no—
1723C42—434no—
1724C42—434no—
1725C42—434no—
1726C42—434no—
1727C42—434no—
1728C42—434no—
1729C42—434no—
1730C42—434no—
1731C42—434no—
1732C42C23×D4314yes—
1733C42C23×D4314yes—
1734C42C23×D4314yes—
1735C42C23×D4314yes—
1736C42C23×D4314yes—
1737C42C23×D4314yes—
1738C23—22no—
1739C23—22no—
1740C23—22no—
1741C23—22no—
1742C23—22no—
1743C23—22no—
1744C23—22no—
1745C23—22no—
1746C23—434no—
1747C23—432no—
1748C23—432no—
1749C23—432no—
1750C23—432no—
1751C23—868no—
1752C23—862no—
1753C23—862no—
1754C23—868no—
1755C23—862no—
1756C23—862no—
1757C23—862no—
1758C23—862no—
1759C23—862no—
1760C23—862no—
1761C23—862no—
1762C23—862no—
1763C23—862no—
1764C23—3448no—
1765C23—3448no—
1766C23—1724no—
1767C23—1724no—
1768C23—1724no—
1769C23—1724no—
1770C23#41×D4314yes—
1771C23C24×D4312yes—
1772C23C24×D4312yes—
1773C23C24×D4312yes—
1774C23C24×D4311yescharacteristic
1775Q8—44no—
1776Q8—868no—
1777Q8—868no—
1778Q8—1724no—
1779Q8—1724no—
1780D4—28no—
1781D4—28no—
1782D4—44no—
1783D4—4316no—
1784D4—868no—
1785D4—868no—
1786D4—868no—
1787D4—868no—
1788D4—868no—
1789D4—1724no—
1790D4—1724no—
1791D4—1724no—
1792D4—1724no—
1793D4—1724no—
1794D4—1724no—
1795C2×C4—22no—
1796C2×C4—22no—
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—44no—
1809C2×C4—44no—
1810C2×C4—44no—
1811C2×C4—44no—
1812C2×C4—434no—
1813C2×C4—432no—
1814C2×C4—432no—
1815C2×C4—432no—
1816C2×C4—432no—
1817C2×C4—432no—
1818C2×C4—432no—
1819C2×C4—432no—
1820C2×C4—432no—
1821C2×C4—432no—
1822C2×C4—432no—
1823C2×C4—432no—
1824C2×C4—432no—
1825C2×C4—868no—
1826C2×C4—868no—
1827C2×C4—868no—
1828C2×C4—868no—
1829C2×C4—868no—
1830C2×C4—862no—
1831C2×C4—862no—
1832C2×C4—862no—
1833C2×C4—868no—
1834C2×C4—862no—
1835C2×C4—862no—
1836C2×C4—862no—
1837C2×C4—862no—
1838C2×C4—862no—
1839C2×C4—862no—
1840C2×C4—862no—
1841C2×C4—862no—
1842C2×C4—1724no—
1843C2×C4—1724no—
1844C2×C4—1724no—
1845C2×C4—1724no—
1846C2×C4—1724no—
1847C2×C4—1724no—
1848C2×C4—1724no—
1849C2×C4—1724no—
1850C2×C4—1724no—
1851C2×C4—1724no—
1852C2×C4—1724no—
1853C2×C4—1724no—
1854C2×C4C24×D4312yes—
1855C2×C4C24×D4312yes—
1856C2×C4C24×D4312yes—
1857C2×C4C24×D4312yes—
1858C2×C4C24×D4312yes—
1859C2×C4C24×D4312yes—
1860C2×C4C24×D4312yes—
1861C2×C4C24×D4312yes—
1862C2×C4C24×D4312yes—
1863C2×C4C24×D4312yes—
1864C2×C4C24×D4312yes—
1865C2×C4C24×D4312yes—
1866C22—22no—
1867C22—22no—
1868C22—28no—
1869C22—22no—
1870C22—22no—
1871C22—22no—
1872C22—22no—
1873C22—22no—
1874C22—22no—
1875C22—44no—
1876C22—44no—
1877C22—434no—
1878C22—862no—
1879C22—862no—
1880C22—868no—
1881C22—862no—
1882C22—862no—
1883C22—862no—
1884C22—862no—
1885C22—862no—
1886C22—862no—
1887C22—862no—
1888C22—862no—
1889C22—862no—
1890C22—3448no—
1891C22—3448no—
1892C22—1724no—
1893C22—1724no—
1894C22—1724no—
1895C22C2×#41×D4314yes—
1896C22C2×#41×D4312yes—
1897C22#1458373512yes—
1898C22#1458373512yes—
1899C22C25×D4311yescharacteristic
1900C4—22no—
1901C4—22no—
1902C4—22no—
1903C4—22no—
1904C4—22no—
1905C4—22no—
1906C4—22no—
1907C4—22no—
1908C4—22no—
1909C4—22no—
1910C4—22no—
1911C4—22no—
1912C4—434no—
1913C4—862no—
1914C4—862no—
1915C4—862no—
1916C4—862no—
1917C4—862no—
1918C4—862no—
1919C4—862no—
1920C4—862no—
1921C4—862no—
1922C4—862no—
1923C4—862no—
1924C2—24no—
1925C2—42no—
1926C2—42no—
1927C2—864no—
1928C2—1722no—
1929C2—1722no—
1930C2—1722no—
1931C2#1914864914yesdirect product factor
1932C2C22×#41×D4311yescharacteristic
1933C2C2×#1458373511yescharacteristic
1934C2C2×#1458373511yescharacteristic
subgroupG/H
centerC23C24×D43
commutator, cosocleC22×C43C26
FrattiniC22C25×D43
FittingC2×C43×#529C2
socleC23×C43C25
hypercenterC2×#529D43
hypocenterC43C2×#3521
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×#529

Complements

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

NH ≅ G/Ntype
1. #19148649C2direct (N × H)
2. C2×#14583621C2semidirect
3. C2×#14583617C2semidirect
4. C2×#14583603C2semidirect
5. C2×#14583598C2semidirect
6. C2×#14583593C2semidirect
7. C2×#14583592C2semidirect
8. C2×#14583590C2semidirect
9. C2×#14583586C2semidirect
10. C2×#14583582C2semidirect
11. C2×#14583578C2semidirect
12. C2×#14583576C2semidirect
13. C2×#14583573C2semidirect
14. C2×#14583572C2semidirect
15. C2×#14583547C2semidirect
16. C2×#14583541C2semidirect
17. C2×#14583538C2semidirect
18. C2×#14583513C2semidirect
19. C2×#14583508C2semidirect
20. C2×#14583497C2semidirect
21. C2×#14583491C2semidirect
22. C2×#14583483C2semidirect
23. C2×#14583482C2semidirect
24. C2×#14583432C2semidirect
25. C2×#14583432C2semidirect
26. C2×#14583432C2semidirect
27. C22×#13063319C2semidirect
28. C2×#126×D43C2semidirect
29. C2×#14583378C2semidirect
30. C2×#14583371C2semidirect
31. C2×C4×#10621898C2semidirect
32. C2×C43×#529C2semidirect
36. #14583621C22semidirect
37. #14583617C22semidirect
38. #14583603C22semidirect
39. #14583598C22semidirect
40. #14583593C22semidirect
41. #14583592C22semidirect
42. #14583590C22semidirect
43. #14583586C22semidirect
44. #14583582C22semidirect
45. #14583578C22semidirect
46. #14583576C22semidirect
47. #14583573C22semidirect
48. #14583572C22semidirect
49. #14583547C22semidirect
50. #14583541C22semidirect
51. #14583538C22semidirect
52. #14583513C22semidirect
53. #14583508C22semidirect
54. #14583497C22semidirect
55. #14583491C22semidirect
56. #14583483C22semidirect
57. #14583482C22semidirect
58. C2×#13063324C22semidirect
59. C2×#13063323C22semidirect
60. #14583432C22semidirect
61. #14583432C22semidirect
62. #14583432C22semidirect
68. C2×#13063320C22semidirect
73. C2×#13063319C22semidirect
74. C2×#13063319C22semidirect
75. C2×#13063319C22semidirect
76. C2×#13063319C22semidirect
77. C2×#13063319C22semidirect
78. C2×#13063319C22semidirect
79. C2×#13063319C22semidirect
80. C2×#13063318C22semidirect
81. C2×#13063318C22semidirect
82. C2×#13063318C22semidirect
83. C2×#13063318C22semidirect
84. #126×D43C22semidirect
85. C2×#13063317C22semidirect
86. C2×#13063316C22semidirect
87. C2×#13063315C22semidirect
88. C2×#13063315C22semidirect
89. C2×#13063315C22semidirect
90. C2×#13063315C22semidirect
91. C2×#13063315C22semidirect
92. C2×#13063315C22semidirect
98. C2×#13063311C22semidirect
102. C2×#13063310C22semidirect
103. C2×#13063310C22semidirect
104. C2×#13063310C22semidirect
106. C2×#13063309C22semidirect
108. C2×#13063308C22semidirect
109. C2×#13063307C22semidirect
110. C2×#13063307C22semidirect
111. C2×#13063307C22semidirect
112. C2×#13063307C22semidirect
114. C2×#13063306C22semidirect
115. C2×#13063305C22semidirect
116. C2×#13063304C22semidirect
119. C2×#13063303C22semidirect
120. C2×#13063303C22semidirect
121. C2×#13063303C22semidirect
122. C2×#13063303C22semidirect
123. C2×#13063302C22semidirect
124. C2×#13063302C22semidirect
125. C2×#13063302C22semidirect
126. C2×#13063302C22semidirect
127. C2×#13063301C22semidirect
128. C2×#13063301C22semidirect
130. C2×#13063299C22semidirect
134. C2×#13063298C22semidirect
137. C2×#13063297C22semidirect
138. C2×#13063297C22semidirect
143. #14583378C22semidirect
144. #14583371C22semidirect
145. C4×#10621898C22semidirect
146. C2×C4×Dic86C22semidirect
147. C2×C4×Dic86C22semidirect
148. C2×C4×Dic86C22semidirect
149. C2×#13063290C22semidirect
150. C2×#13063290C22semidirect
151. C2×#13063290C22semidirect
153. C2×C4×D172C22semidirect
154. C2×C4×D172C22semidirect
156. C2×D4×Dic43C22semidirect
159. C2×#13063287C22semidirect
163. C2×C4×C22⋊D43C22semidirect
164. C2×C4×C22⋊D43C22semidirect
165. C2×C4×C22⋊D43C22semidirect
170. C2×(C22⋊D43)⋊C4C22semidirect
171. C2×(C22⋊D43)⋊C4C22semidirect
172. C2×(C22⋊D43)⋊C4C22semidirect
173. C2×(C22⋊D43)⋊C4C22semidirect
174. C2×#13063284C22semidirect
176. C2×#13063283C22semidirect
177. C2×#13063283C22semidirect
179. C2×#13063282C22semidirect
180. C2×#13063282C22semidirect
181. C2×#13063282C22semidirect
182. C2×#13063281C22semidirect
183. C2×#13063281C22semidirect
184. C2×#13063281C22semidirect
185. C2×#13063281C22semidirect
186. C22×Dic43⋊C4C22semidirect
187. C22×Dic43⋊C4C22semidirect
188. C22×Dic43⋊C4C22semidirect
189. C22×Dic43⋊C4C22semidirect
190. C2×C4⋊C4×D43C22semidirect
191. C2×C4⋊C4×D43C22semidirect
192. C2×C4⋊C4×D43C22semidirect
201. C2×C42×D43C22semidirect
202. C2×C42×D43C22semidirect
203. C43×#529C22semidirect
204. C2×#126×C43C22semidirect
205. C2×#126×C43C22semidirect
206. C2×#125×C43C22semidirect
207. C2×#124×C43C22semidirect
209. C2×#123×C43C22semidirect
210. C2×C22⋊Q8×C43C22semidirect
212. C2×C4×Q8×C43C22semidirect
214. C2×C4×D4×C43C22semidirect
215. C2×C4×D4×C43C22semidirect
216. C2×#117×C43C22semidirect
217. C2×#117×C43C22semidirect
218. C22×C42×C43C22semidirect
261. #13063324C23semidirect
262. #13063323C23semidirect
268. #13063320C23semidirect
273. #13063319C23semidirect
274. #13063319C23semidirect
275. #13063319C23semidirect
276. #13063319C23semidirect
277. #13063319C23semidirect
278. #13063319C23semidirect
279. #13063318C23semidirect
280. #13063318C23semidirect
281. #13063318C23semidirect
282. #13063318C23semidirect
283. #13063317C23semidirect
284. #13063316C23semidirect
285. #13063315C23semidirect
286. #13063315C23semidirect
287. #13063315C23semidirect
288. #13063315C23semidirect
289. #13063315C23semidirect
290. #13063315C23semidirect
296. #13063311C23semidirect
300. #13063310C23semidirect
301. #13063310C23semidirect
302. #13063310C23semidirect
304. #13063309C23semidirect
306. #13063308C23semidirect
307. #13063307C23semidirect
308. #13063307C23semidirect
309. #13063307C23semidirect
310. #13063307C23semidirect
312. #13063306C23semidirect
313. #13063305C23semidirect
314. #13063304C23semidirect
317. #13063303C23semidirect
318. #13063303C23semidirect
319. #13063303C23semidirect
320. #13063303C23semidirect
321. #13063302C23semidirect
322. #13063302C23semidirect
323. #13063302C23semidirect
324. #13063302C23semidirect
325. #13063301C23semidirect
326. #13063301C23semidirect
328. #13063299C23semidirect
332. #13063298C23semidirect
335. #13063297C23semidirect
336. #13063297C23semidirect
341. C4×Dic86C23semidirect
342. C4×Dic86C23semidirect
343. C4×Dic86C23semidirect
344. #13063290C23semidirect
345. #13063290C23semidirect
346. #13063290C23semidirect
348. C4×D172C23semidirect
349. C4×D172C23semidirect
351. D4×Dic43C23semidirect
354. #13063287C23semidirect
358. C4×C22⋊D43C23semidirect
359. C4×C22⋊D43C23semidirect
360. C4×C22⋊D43C23semidirect
365. (C22⋊D43)⋊C4C23semidirect
366. (C22⋊D43)⋊C4C23semidirect
367. (C22⋊D43)⋊C4C23semidirect
368. (C22⋊D43)⋊C4C23semidirect
369. #13063284C23semidirect
371. #13063283C23semidirect
372. #13063283C23semidirect
374. #13063282C23semidirect
375. #13063282C23semidirect
376. #13063282C23semidirect
377. #13063281C23semidirect
378. #13063281C23semidirect
379. #13063281C23semidirect
380. #13063281C23semidirect
417. C2×Dic43⋊C4C23semidirect
418. C2×Dic43⋊C4C23semidirect
419. C2×Dic43⋊C4C23semidirect
420. C2×Dic43⋊C4C23semidirect
421. C4⋊C4×D43C23semidirect
422. C4⋊C4×D43C23semidirect
423. C4⋊C4×D43C23semidirect
480. C42×D43C23semidirect
481. C42×D43C23semidirect
491. #126×C43C23semidirect
492. #126×C43C23semidirect
493. #125×C43C23semidirect
494. #124×C43C23semidirect
496. #123×C43C23semidirect
497. C22⋊Q8×C43C23semidirect
499. C4×Q8×C43C23semidirect
501. C4×D4×C43C23semidirect
502. C4×D4×C43C23semidirect
503. #117×C43C23semidirect
504. #117×C43C23semidirect
531. C2×C42×C43C23semidirect
983. C2×#529D43semidirect
992. C2×C43#3521semidirect
1030. #529C2×D43semidirect
1053. C2×#126C2×D43semidirect
1054. C2×#126C2×D43semidirect
1063. C2×#125C2×D43semidirect
1070. C2×#124C2×D43semidirect
1088. C2×#123C2×D43semidirect
1103. C2×C22⋊Q8C2×D43semidirect
1128. C2×C4×Q8C2×D43semidirect
1152. C2×C4×D4C2×D43semidirect
1153. C2×C4×D4C2×D43semidirect
1166. C2×#117C2×D43semidirect
1167. C2×#117C2×D43semidirect
1185. C22×C42C2×D43semidirect
1186. C43C2×#3521semidirect
1260. #126C22×D43semidirect
1261. #126C22×D43semidirect
1270. #125C22×D43semidirect
1277. #124C22×D43semidirect
1295. #123C22×D43semidirect
1310. C22⋊Q8C22×D43semidirect
1332. C4×Q8C22×D43semidirect
1356. C4×D4C22×D43semidirect
1357. C4×D4C22×D43semidirect
1370. #117C22×D43semidirect
1371. #117C22×D43semidirect
1499. C2×C42C22×D43semidirect
1931. C2#19148649direct (N × H)

Maximal subgroups

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

subgroupindex
#191486492
C2×#145836212
C2×#145836172
C2×#145836032
C2×#145835982
C2×#145835932
C2×#145835922
C2×#145835902
C2×#145835862
C2×#145835822
C2×#145835782
C2×#145835762
C2×#145835732
C2×#145835722
C2×#145835472
C2×#145835412
C2×#145835382
C2×#145835132
C2×#145835082
C2×#145834972
C2×#145834912
C2×#145834832
C2×#145834822
C2×#145834322
C22×#130633192
C2×#126×D432
C2×#145833782
C2×#145833712
C2×C4×#106218982
C2×C43×#5292
C2×#352143