Finite Group Databasebeta

← C2×#19148654 #26004718

Subgroups — C2×#19148654 #26004718

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#19148654C2132yesmaximal, direct product factor
2C2×#14583616C211yesmaximal, characteristic, complemented
3C2×#14583616C211yesmaximal, characteristic, complemented
4C2×#14583604C211yesmaximal, characteristic, complemented
5C2×#14583594C211yesmaximal, characteristic, complemented
6C2×#14583592C211yesmaximal, characteristic, complemented
7C2×#14583589C211yesmaximal, characteristic, complemented
8C2×#14583582C211yesmaximal, characteristic, complemented
9C2×#14583581C211yesmaximal, characteristic, complemented
10C2×#14583578C211yesmaximal, characteristic, complemented
11C2×#14583578C211yesmaximal, characteristic, complemented
12C2×#14583578C211yesmaximal, characteristic, complemented
13C2×#14583572C211yesmaximal, characteristic, complemented
14C2×#14583549C211yesmaximal, characteristic, complemented
15C2×#14583538C211yesmaximal, characteristic, complemented
16C2×#14583538C211yesmaximal, characteristic, complemented
17C2×#14583517C211yesmaximal, characteristic, complemented
18C2×#14583508C211yesmaximal, characteristic, complemented
19C2×#14583494C211yesmaximal, characteristic, complemented
20C2×#14583490C211yesmaximal, characteristic, complemented
21C2×#14583486C211yesmaximal, characteristic, complemented
22C2×#14583481C211yesmaximal, characteristic, complemented
23C2×#14583430C211yesmaximal, characteristic, complemented
24C2×#14583429C211yesmaximal, characteristic, complemented
25C2×#14583427C211yesmaximal, characteristic, complemented
26C2×#14583426C211yesmaximal, characteristic, complemented
27C22×#13063320C211yesmaximal, characteristic, complemented
28C2×#126×D43C211yesmaximal, characteristic, complemented
29C2×#14583378C211yesmaximal, characteristic, complemented
30C2×#14583371C211yesmaximal, characteristic, complemented
31C2×C4×#10621900C211yesmaximal, characteristic, complemented
32C2×C43×#553C211yesmaximal, characteristic, complemented
33C22×#10621900C2211yescharacteristic
34C22×#10621900C2211yescharacteristic
35C22×D4×D43C2211yescharacteristic
36#14583616C22116yescomplemented
37#14583616C22116yescomplemented
38#14583604C22116yescomplemented
39#14583594C22116yescomplemented
40#14583592C22116yescomplemented
41#14583589C22116yescomplemented
42#14583582C22116yescomplemented
43#14583581C22116yescomplemented
44#14583578C22116yescomplemented
45#14583578C22116yescomplemented
46#14583578C22116yescomplemented
47#14583572C22116yescomplemented
48#14583549C22116yescomplemented
49#14583538C22116yescomplemented
50#14583538C22116yescomplemented
51#14583517C22116yescomplemented
52#14583508C22116yescomplemented
53#14583494C22116yescomplemented
54#14583490C22116yescomplemented
55#14583486C22116yescomplemented
56#14583481C22116yescomplemented
57C2×#13063324C2211yescharacteristic, complemented
58C2×#13063324C2211yescharacteristic, complemented
59#14583430C22116yescomplemented
60#14583429C22116yescomplemented
61#14583427C22116yescomplemented
62#14583426C22116yescomplemented
63C2×#13063320C2211yescharacteristic
64C2×#13063320C2211yescharacteristic
65C2×#13063320C2211yescharacteristic
66C2×#13063320C2211yescharacteristic
67C2×#13063320C2211yescharacteristic
68C2×#13063320C2211yescharacteristic
69C2×#13063320C2211yescharacteristic
70C2×#13063320C2211yescharacteristic, complemented
71C2×#13063320C2211yescharacteristic, complemented
72C2×#13063320C2211yescharacteristic, complemented
73C2×#13063320C2211yescharacteristic, complemented
74C2×#13063320C2211yescharacteristic, complemented
75C2×#13063320C22116yescomplemented
76C2×#13063319C2211yescharacteristic
77C2×#13063319C2211yescharacteristic
78C2×#13063318C2211yescharacteristic, complemented
79C2×#13063318C2211yescharacteristic, complemented
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×#13063312C2211yescharacteristic, complemented
94C2×#13063311C2211yescharacteristic
95C2×#13063311C2211yescharacteristic
96C2×#13063311C2211yescharacteristic
97C2×#13063311C2211yescharacteristic
98C2×#13063311C2211yescharacteristic
99C2×#13063311C2211yescharacteristic, complemented
100C2×#13063310C2211yescharacteristic
101C2×#13063310C2211yescharacteristic
102C2×#13063309C2211yescharacteristic
103C2×#13063309C2211yescharacteristic, complemented
104C2×#13063308C2211yescharacteristic
105C2×#13063308C2211yescharacteristic
106C2×#13063307C2211yescharacteristic, complemented
107C2×#13063307C2211yescharacteristic, complemented
108C2×#13063307C2211yescharacteristic, complemented
109C2×#13063307C2211yescharacteristic, complemented
110C2×#13063306C2211yescharacteristic
111C2×#13063306C2211yescharacteristic
112C2×#13063306C2211yescharacteristic, complemented
113C2×#13063306C2211yescharacteristic, complemented
114C2×#13063306C2211yescharacteristic, complemented
115C2×#13063306C2211yescharacteristic, complemented
116C2×#13063305C2211yescharacteristic, complemented
117C2×#13063304C2211yescharacteristic, complemented
118C2×#13063304C2211yescharacteristic, complemented
119C2×#13063304C2211yescharacteristic, complemented
120C2×#13063304C2211yescharacteristic, complemented
121C2×#13063303C2211yescharacteristic
122C2×#13063303C2211yescharacteristic
123C2×#13063303C2211yescharacteristic, complemented
124C2×#13063303C2211yescharacteristic, complemented
125C2×#13063303C2211yescharacteristic, complemented
126C2×#13063303C2211yescharacteristic, complemented
127C2×#13063302C2211yescharacteristic, complemented
128C2×#13063302C2211yescharacteristic, complemented
129C2×#13063302C2211yescharacteristic, complemented
130C2×#13063302C2211yescharacteristic, complemented
131C2×#13063298C2211yescharacteristic
132C2×#13063298C2211yescharacteristic
133C2×#13063297C2211yescharacteristic
134C2×#13063297C2211yescharacteristic
135C2×#13063297C2211yescharacteristic
136C2×#13063297C2211yescharacteristic, complemented
137C2×#13063296C2211yescharacteristic, complemented
138C2×#13063293C2211yescharacteristic
139C2×#13063293C2211yescharacteristic
140C2×#13063293C2211yescharacteristic
141C2×#13063293C2211yescharacteristic
142#14583378C22116yescomplemented
143#14583371C22116yescomplemented
144C4×#10621900C22116yescomplemented
145C2×C4×Dic86C2211yescharacteristic, complemented
146C2×C4×Dic86C2211yescharacteristic, complemented
147C2×C4×Dic86C2211yescharacteristic, complemented
148C2×#13063290C2211yescharacteristic, complemented
149C2×#13063290C2211yescharacteristic, complemented
150C2×#13063290C2211yescharacteristic, complemented
151C2×#13063290C2211yescharacteristic, complemented
152C2×C4×D172C2211yescharacteristic
153C2×D4×Dic43C2211yescharacteristic
154C2×D4×Dic43C2211yescharacteristic, complemented
155C2×D4×Dic43C2211yescharacteristic, complemented
156C2×D4×Dic43C2211yescharacteristic, complemented
157C2×D4×Dic43C2211yescharacteristic, complemented
158C2×#13063287C2211yescharacteristic
159C2×C4×C22⋊D43C2211yescharacteristic
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×C4×C22⋊D43C2211yescharacteristic, complemented
167C2×(C22⋊D43)⋊C4C2211yescharacteristic
168C2×(C22⋊D43)⋊C4C2211yescharacteristic
169C2×(C22⋊D43)⋊C4C2211yescharacteristic
170C2×(C22⋊D43)⋊C4C2211yescharacteristic
171C2×(C22⋊D43)⋊C4C2211yescharacteristic, complemented
172C2×(C22⋊D43)⋊C4C2211yescharacteristic, complemented
173C2×#13063284C2211yescharacteristic, complemented
174C2×#13063283C2211yescharacteristic
175C2×#13063283C2211yescharacteristic, complemented
176C2×#13063282C2211yescharacteristic
177C2×#13063282C2211yescharacteristic, complemented
178C2×#13063282C2211yescharacteristic, complemented
179C2×#13063282C2211yescharacteristic, complemented
180C2×#13063281C2211yescharacteristic, complemented
181C2×#13063281C2211yescharacteristic, complemented
182C2×#13063281C2211yescharacteristic, complemented
183C2×#13063281C2211yescharacteristic, complemented
184C2×#13063281C2211yescharacteristic, complemented
185C2×#13063281C2211yescharacteristic, complemented
186C22×C4⋊Dic43C2211yescharacteristic, complemented
187C22×Dic43⋊C4C2211yescharacteristic, complemented
188C22×Dic43⋊C4C2211yescharacteristic, complemented
189C2×C4⋊C4×D43C2211yescharacteristic, complemented
190C2×C4⋊C4×D43C2211yescharacteristic, complemented
191C2×C4⋊C4×D43C2211yescharacteristic, complemented
192C22×(C2×D43)⋊C4C2211yescharacteristic
193C22×(C2×D43)⋊C4C2211yescharacteristic
194C22×(C2×D43)⋊C4C2211yescharacteristic
195C22×(C2×D43)⋊C4C2211yescharacteristic
196C2×C22⋊C4×D43C2211yescharacteristic
197C2×C22⋊C4×D43C2211yescharacteristic
198C2×C22⋊C4×D43C2211yescharacteristic
199C2×C22⋊C4×D43C2211yescharacteristic
200C22×C4×Dic43C2211yescharacteristic, complemented
201C22×C4×Dic43C2211yescharacteristic, complemented
202C2×C42×D43C2211yescharacteristic, complemented
203C43×#553C22116yescomplemented
204C2×#126×C43C2211yescharacteristic, complemented
205C2×#126×C43C2211yescharacteristic, complemented
206C2×#125×C43C2211yescharacteristic, complemented
207C2×#123×C43C2211yescharacteristic, complemented
208C2×#123×C43C2211yescharacteristic, complemented
209C2×#121×C43C2211yescharacteristic
210C2×#121×C43C2211yescharacteristic
211C2×#121×C43C2211yescharacteristic, complemented
212C2×#121×C43C2211yescharacteristic, complemented
213C2×C4×D4×C43C2211yescharacteristic
214C2×C4×D4×C43C2211yescharacteristic, complemented
215C2×C4×D4×C43C2211yescharacteristic, complemented
216C2×C4×D4×C43C2211yescharacteristic, complemented
217C2×#117×C43C2211yescharacteristic, complemented
218C22×C4⋊C4×C43C2211yescharacteristic, complemented
219C24×D43C2311yescharacteristic
220C24×D43C2311yescharacteristic
221C2×#10621900—28no—
222C2×#10621900—28no—
223C2×#10621900C2318yes—
224C2×#10621900C2318yes—
225C22×Dic86C2311yescharacteristic
226C22×Dic86C2311yescharacteristic
227C22×Dic86C2311yescharacteristic
228C22×Dic86C2311yescharacteristic
229C22×Dic86C2311yescharacteristic
230C22×D172C2311yescharacteristic
231C22×C22⋊D43C2311yescharacteristic
232C22×C22⋊D43C2311yescharacteristic
233C22×C22⋊D43C2311yescharacteristic
234C22×C22⋊D43C2311yescharacteristic
235C22×C22⋊D43C2311yescharacteristic
236C22×C22⋊D43C2311yescharacteristic
237C22×C22⋊D43C2311yescharacteristic
238C22×C22⋊D43C2311yescharacteristic
239C2×D4×D43—28no—
240C2×D4×D43C2318yes—
241C23×Dic43C2311yescharacteristic
242C23×Dic43C2311yescharacteristic
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
258#13063324C2318yescomplemented
259#13063324C2318yescomplemented
260#13063320C2318yes—
261#13063320C2318yes—
262#13063320C2318yes—
263#13063320C2318yes—
264#13063320C2318yes—
265#13063320C2318yes—
266#13063320C2318yes—
267#13063320C2318yescomplemented
268#13063320C2318yescomplemented
269#13063320C2318yescomplemented
270#13063320C2318yescomplemented
271#13063320C2318yescomplemented
272#13063319C2318yes—
273#13063319C2318yes—
274#13063318C2318yescomplemented
275#13063318C2318yescomplemented
276#13063318C2318yescomplemented
277#13063318C2318yescomplemented
278#13063318C2318yescomplemented
279#13063318C2318yescomplemented
280#13063317C2318yescomplemented
281#13063316C2318yescomplemented
282#13063315C2318yescomplemented
283#13063315C2318yescomplemented
284#13063315C2318yescomplemented
285#13063315C2318yescomplemented
286#13063315C2318yescomplemented
287#13063315C2318yescomplemented
288#13063312C2318yescomplemented
289#13063311C2318yes—
290#13063311C2318yes—
291#13063311C2318yes—
292#13063311C2318yes—
293#13063311C2318yes—
294#13063311C2318yescomplemented
295#13063310C2318yes—
296#13063310C2318yes—
297#13063309C2318yes—
298#13063309C2318yescomplemented
299#13063308C2318yes—
300#13063308C2318yes—
301#13063307C2318yescomplemented
302#13063307C2318yescomplemented
303#13063307C2318yescomplemented
304#13063307C2318yescomplemented
305#13063306C2318yes—
306#13063306C2318yes—
307#13063306C2318yescomplemented
308#13063306C2318yescomplemented
309#13063306C2318yescomplemented
310#13063306C2318yescomplemented
311#13063305C2318yescomplemented
312#13063304C2318yescomplemented
313#13063304C2318yescomplemented
314#13063304C2318yescomplemented
315#13063304C2318yescomplemented
316#13063303C2318yes—
317#13063303C2318yes—
318#13063303C2318yescomplemented
319#13063303C2318yescomplemented
320#13063303C2318yescomplemented
321#13063303C2318yescomplemented
322#13063302C2318yescomplemented
323#13063302C2318yescomplemented
324#13063302C2318yescomplemented
325#13063302C2318yescomplemented
326#13063298C2318yes—
327#13063298C2318yes—
328#13063297C2318yes—
329#13063297C2318yes—
330#13063297C2318yes—
331#13063297C2318yescomplemented
332#13063296C2318yescomplemented
333#13063293C2318yes—
334#13063293C2318yes—
335#13063293C2318yes—
336#13063293C2318yes—
337C4×Dic86C2318yescomplemented
338C4×Dic86C2318yescomplemented
339C4×Dic86C2318yescomplemented
340#13063290C2318yescomplemented
341#13063290C2318yescomplemented
342#13063290C2318yescomplemented
343#13063290C2318yescomplemented
344C4×D172C2318yes—
345D4×Dic43C2318yes—
346D4×Dic43C2318yescomplemented
347D4×Dic43C2318yescomplemented
348D4×Dic43C2318yescomplemented
349D4×Dic43C2318yescomplemented
350#13063287C2318yes—
351C4×C22⋊D43C2318yes—
352C4×C22⋊D43C2318yes—
353C4×C22⋊D43C2318yes—
354C4×C22⋊D43C2318yes—
355C4×C22⋊D43C2318yescomplemented
356C4×C22⋊D43C2318yescomplemented
357C4×C22⋊D43C2318yescomplemented
358C4×C22⋊D43C2318yescomplemented
359(C22⋊D43)⋊C4C2318yes—
360(C22⋊D43)⋊C4C2318yes—
361(C22⋊D43)⋊C4C2318yes—
362(C22⋊D43)⋊C4C2318yes—
363(C22⋊D43)⋊C4C2318yescomplemented
364(C22⋊D43)⋊C4C2318yescomplemented
365#13063284C2318yescomplemented
366#13063283C2318yes—
367#13063283C2318yescomplemented
368#13063282C2318yes—
369#13063282C2318yescomplemented
370#13063282C2318yescomplemented
371#13063282C2318yescomplemented
372#13063281C2318yescomplemented
373#13063281C2318yescomplemented
374#13063281C2318yescomplemented
375#13063281C2318yescomplemented
376#13063281C2318yescomplemented
377#13063281C2318yescomplemented
378C2×C4⋊Dic43C2311yescharacteristic
379C2×C4⋊Dic43C2311yescharacteristic
380C2×C4⋊Dic43C2311yescharacteristic
381C2×C4⋊Dic43C2311yescharacteristic
382C2×C4⋊Dic43C2311yescharacteristic
383C2×C4⋊Dic43C2311yescharacteristic
384C2×C4⋊Dic43C2311yescharacteristic
385C2×C4⋊Dic43C2311yescharacteristic
386C2×C4⋊Dic43C2311yescharacteristic
387C2×C4⋊Dic43C2311yescharacteristic
388C2×C4⋊Dic43C2318yescomplemented
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⋊C4C2318yescomplemented
416C2×Dic43⋊C4C2318yescomplemented
417C4⋊C4×D43C2318yescomplemented
418C4⋊C4×D43C2318yescomplemented
419C4⋊C4×D43C2318yescomplemented
420C2×C22⋊Dic43C2311yescharacteristic
421C2×C22⋊Dic43C2311yescharacteristic
422C2×C22⋊Dic43C2311yescharacteristic
423C2×C22⋊Dic43C2311yescharacteristic
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×C22⋊Dic43C2311yescharacteristic
433C2×C22⋊Dic43C2311yescharacteristic
434C2×(C2×D43)⋊C4C2318yes—
435C2×(C2×D43)⋊C4C2318yes—
436C2×(C2×D43)⋊C4C2318yes—
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)⋊C4C2311yescharacteristic
450C2×(C2×D43)⋊C4C2311yescharacteristic
451C2×(C2×D43)⋊C4C2318yes—
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
460C22⋊C4×D43C2318yes—
461C22⋊C4×D43C2318yes—
462C22⋊C4×D43C2318yes—
463C22⋊C4×D43C2318yes—
464C2×C4×Dic43C2311yescharacteristic
465C2×C4×Dic43C2311yescharacteristic
466C2×C4×Dic43C2311yescharacteristic
467C2×C4×Dic43C2311yescharacteristic
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×Dic43C2318yescomplemented
480C2×C4×Dic43C2318yescomplemented
481C42×D43C2318yescomplemented
482C22×D4×C43C2311yescharacteristic
483C22×D4×C43C2311yescharacteristic
484C22×D4×C43C2311yescharacteristic
485C22×D4×C43C2311yescharacteristic
486C22×D4×C43C2311yescharacteristic
487C22×D4×C43C2311yescharacteristic
488C23×C4×C43C2311yescharacteristic
489C23×C4×C43C2311yescharacteristic
490C23×C4×C43C2311yescharacteristic
491C23×C4×C43C2311yescharacteristic
492C23×C4×C43C2311yescharacteristic
493C23×C4×C43C2311yescharacteristic
494#126×C43C2318yescomplemented
495#126×C43C2318yescomplemented
496#125×C43C2318yescomplemented
497#123×C43C2318yescomplemented
498#123×C43C2318yescomplemented
499#121×C43C2318yes—
500#121×C43C2318yes—
501#121×C43C2318yescomplemented
502#121×C43C2318yescomplemented
503C4×D4×C43C2318yes—
504C4×D4×C43C2318yescomplemented
505C4×D4×C43C2318yescomplemented
506C4×D4×C43C2318yescomplemented
507#117×C43C2318yescomplemented
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×C4⋊C4×C43C2311yescharacteristic
516C2×C4⋊C4×C43C2311yescharacteristic
517C2×C4⋊C4×C43C2311yescharacteristic
518C2×C4⋊C4×C43C2318yescomplemented
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×C22⋊C4×C43C2311yescharacteristic
526C2×C22⋊C4×C43C2311yescharacteristic
527C2×C22⋊C4×C43C2311yescharacteristic
528C2×C22⋊C4×C43C2311yescharacteristic
529C2×C42×C43C2311yescharacteristic
530C2×C42×C43C2311yescharacteristic
531C2×C42×C43C2311yescharacteristic
532C24×C43C2411yescharacteristic
533C24×C43C2411yescharacteristic
534C24×C43C2411yescharacteristic
535C24×C43C2411yescharacteristic
536C23×D43—24no—
537C23×D43—24no—
538C23×D43—42no—
539C23×D43—42no—
540C23×D43—42no—
541C23×D43—42no—
542C23×D43C2411yescharacteristic
543C23×D43C2411yescharacteristic
544C23×D43C2411yescharacteristic
545C23×D43C2414yes—
546C23×D43C2414yes—
547C2×D4×C43—24no—
548C2×D4×C43—24no—
549C2×D4×C43—24no—
550C2×D4×C43—42no—
551C2×D4×C43—42no—
552C2×D4×C43—42no—
553C2×D4×C43C2414yes—
554C2×D4×C43C2414yes—
555C2×D4×C43C2414yes—
556C2×D4×C43C2414yes—
557C2×D4×C43C2414yes—
558C2×D4×C43C2414yes—
559C22×C4×C43—42no—
560C22×C4×C43—42no—
561C22×C4×C43—42no—
562C22×C4×C43—42no—
563C22×C4×C43—42no—
564C22×C4×C43—42no—
565C22×C4×C43C2411yescharacteristic
566C22×C4×C43C2411yescharacteristic
567C22×C4×C43C2411yescharacteristic
568C22×C4×C43C2411yescharacteristic
569C22×C4×C43C2411yescharacteristic
570C22×C4×C43C2411yescharacteristic
571C22×C4×C43C2411yescharacteristic
572C22×C4×C43C2411yescharacteristic
573C22×C4×C43C2411yescharacteristic
574C22×C4×C43C2411yescharacteristic
575C22×C4×C43C2411yescharacteristic
576C22×C4×C43C2414yes—
577C22×C4×C43C2414yes—
578C22×C4×C43C2414yes—
579C22×C4×C43C2414yes—
580C22×C4×C43C2414yes—
581C22×C4×C43C2414yes—
582C2×C22⋊D43—24no—
583C2×C22⋊D43—24no—
584C2×C22⋊D43—24no—
585C2×C22⋊D43—42no—
586C2×C22⋊D43—42no—
587C2×C22⋊D43—42no—
588C2×C22⋊D43—42no—
589C2×C22⋊D43#4118yes—
590C2×C22⋊D43C2414yes—
591C2×C22⋊D43C2414yes—
592C2×C22⋊D43C2414yes—
593C2×C22⋊D43C2414yes—
594C2×C22⋊D43C2414yes—
595C2×C22⋊D43C2414yes—
596C2×C22⋊D43C2414yes—
597C2×C22⋊D43C2414yes—
598C22×Dic43—24no—
599C22×Dic43—24no—
600C22×Dic43—24no—
601C22×Dic43—24no—
602C22×Dic43—42no—
603C22×Dic43—42no—
604C22×Dic43—42no—
605C22×Dic43—42no—
606C22×Dic43C2411yescharacteristic
607C22×Dic43C2411yescharacteristic
608C22×Dic43C2411yescharacteristic
609C22×Dic43C2411yescharacteristic
610C22×Dic43C2411yescharacteristic
611C22×Dic43C2411yescharacteristic
612C22×Dic43C2411yescharacteristic
613C22×Dic43C2411yescharacteristic
614C22×Dic43C2411yescharacteristic
615C22×Dic43C2411yescharacteristic
616C22×Dic43C2411yescharacteristic
617C22×Dic43C2414yes—
618C22×Dic43C2414yes—
619C22×Dic43C2411yescharacteristic
620C22×Dic43C2414yes—
621C22×Dic43C2414yes—
622C22×Dic43C2414yes—
623C22×Dic43C2414yes—
624C22×Dic43C2414yes—
625C22×Dic43C2414yes—
626C22×Dic43C2411yescharacteristic
627#10621900—232no—
628#10621900—232no—
629D4×D43—232no—
630C2×D172—24no—
631C2×D172C2414yes—
632C2×C4×D43—24no—
633C2×C4×D43—24no—
634C2×C4×D43—24no—
635C2×C4×D43—42no—
636C2×C4×D43—42no—
637C2×C4×D43—42no—
638C2×C4×D43—42no—
639C2×C4×D43—42no—
640C2×C4×D43—42no—
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×Dic86—24no—
651C2×Dic86—24no—
652C2×Dic86—42no—
653C2×Dic86—42no—
654C2×Dic86—42no—
655C2×Dic86C2414yes—
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—
683C22⋊Dic43C2414yes—
684C22⋊Dic43C2414yes—
685C22⋊Dic43C2414yes—
686C22⋊Dic43C2414yes—
687C22⋊Dic43C2414yes—
688C22⋊Dic43C2414yes—
689C22⋊Dic43C2414yes—
690C22⋊Dic43C2414yes—
691C22⋊Dic43C2414yes—
692C22⋊Dic43C2414yes—
693C22⋊Dic43C2414yes—
694C22⋊Dic43C2414yes—
695C22⋊Dic43C2414yes—
696C22⋊Dic43C2414yes—
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—
719C4⋊Dic43C2414yes—
720C4⋊Dic43C2414yes—
721C4⋊Dic43C2414yes—
722C4⋊Dic43C2414yes—
723C4⋊Dic43C2414yes—
724C4⋊Dic43C2414yes—
725C4⋊Dic43C2414yes—
726C4⋊Dic43C2414yes—
727C4⋊Dic43C2414yes—
728C4⋊Dic43C2414yes—
729Dic43⋊C4C2414yes—
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—
755C4×Dic43C2414yes—
756C4×Dic43C2414yes—
757C4×Dic43C2414yes—
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×C43—22no—
779C23×C43—22no—
780C23×C43—22no—
781C23×C43C2×#4114yes—
782C23×C43C2512yes—
783C23×C43C2512yes—
784C23×C43C2512yes—
785C23×C43C2512yes—
786C23×C43C2511yescharacteristic
787C22×D43—22no—
788C22×D43—22no—
789C22×D43—22no—
790C22×D43—22no—
791C22×D43—22no—
792C22×D43—22no—
793C22×D43—22no—
794C22×D43—22no—
795C22×D43—28no—
796C22×D43—28no—
797C22×D43—44no—
798C22×D43—44no—
799C22×D43—44no—
800C22×D43—44no—
801C22×D43—88no—
802C22×D43—88no—
803C22×D43C2×#4114yes—
804C22×D43C2512yes—
805C22×D43C2512yes—
806C22×D43C2512yes—
807D4×C43—28no—
808D4×C43—28no—
809D4×C43—28no—
810D4×C43—44no—
811D4×C43—44no—
812D4×C43—44no—
813C2×C4×C43—22no—
814C2×C4×C43—22no—
815C2×C4×C43—22no—
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×C43—44no—
829C2×C4×C43—44no—
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—
840C2×C4×C43C2512yes—
841C22⋊D43—28no—
842C22⋊D43—28no—
843C22⋊D43—28no—
844C22⋊D43—44no—
845C22⋊D43—44no—
846C22⋊D43—44no—
847C22⋊D43—44no—
848C22⋊D43C2×#41116yes—
849C2×Dic43—22no—
850C2×Dic43—22no—
851C2×Dic43—22no—
852C2×Dic43—22no—
853C2×Dic43—28no—
854C2×Dic43—28no—
855C2×Dic43—22no—
856C2×Dic43—22no—
857C2×Dic43—22no—
858C2×Dic43—22no—
859C2×Dic43—22no—
860C2×Dic43—22no—
861C2×Dic43—22no—
862C2×Dic43—22no—
863C2×Dic43—28no—
864C2×Dic43—28no—
865C2×Dic43—44no—
866C2×Dic43—44no—
867C2×Dic43—44no—
868C2×Dic43—44no—
869C2×Dic43C2×#4114yes—
870C2×Dic43C2512yes—
871C2×Dic43C2512yes—
872C2×Dic43C2512yes—
873C2×Dic43C2512yes—
874C2×Dic43C2512yes—
875C2×Dic43C2512yes—
876C2×Dic43C2512yes—
877C2×Dic43C2512yes—
878C2×Dic43C2512yes—
879C2×Dic43C2512yes—
880C2×Dic43C2512yes—
881C2×Dic43C2512yes—
882C2×Dic43C2512yes—
883D172—28no—
884C4×D43—28no—
885C4×D43—28no—
886C4×D43—28no—
887C4×D43—44no—
888C4×D43—44no—
889C4×D43—44no—
890C4×D43—44no—
891C4×D43—44no—
892C4×D43—44no—
893Dic86—28no—
894Dic86—28no—
895Dic86—44no—
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—22no—
909C22×C43—22no—
910C22×C43—22no—
911C22×C43—44no—
912C22×C43—44no—
913C22×C43—44no—
914C22×C43C22×#4114yes—
915C22×C43C22×#4112yes—
916C22×C43#58512yes—
917C22×C43#58512yes—
918C22×C43C2611yescharacteristic
919C2×D43—22no—
920C2×D43—22no—
921C2×D43—28no—
922C2×D43—22no—
923C2×D43—22no—
924C2×D43—22no—
925C2×D43—22no—
926C2×D43—22no—
927C2×D43—22no—
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—
944Dic43—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×#553D4311yescharacteristic, complemented
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×#529—431no—
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—42no—
993C2×C43#352114yescomplemented
994C2×C43C23×#4111yescharacteristic
995C2×C43C2×#58511yescharacteristic
996C2×C43C2×#58511yescharacteristic
997D43—24no—
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#553C2×D43116yescomplemented
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#529—4316no—
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—4316no—
1045C2×#126—431no—
1046C2×#126—431no—
1047C2×#126—431no—
1048C2×#126—431no—
1049C2×#126—431no—
1050C2×#126—431no—
1051C2×#126—431no—
1052C2×#126—431no—
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×#124—431no—
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, complemented
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⋊Q8—431no—
1104C2×#121—431no—
1105C2×#121—431no—
1106C2×#121—431no—
1107C2×#121—431no—
1108C2×#121—431no—
1109C2×#121—431no—
1110C2×#121—431no—
1111C2×#121C2×D4311yescharacteristic
1112C2×#121C2×D4311yescharacteristic
1113C2×#121C2×D4311yescharacteristic, complemented
1114C2×#121C2×D4311yescharacteristic, complemented
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×Q8—431no—
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×D4C2×D4311yescharacteristic
1151C2×C4×D4C2×D4311yescharacteristic, complemented
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×#117—431no—
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⋊C4C2×D4311yescharacteristic, complemented
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×C42—431no—
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×Q8—431no—
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—868no—
1209C22×D4C22×D4311yescharacteristic
1210C22×D4C22×D4311yescharacteristic
1211C22×D4C22×D4311yescharacteristic
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×C4C22×D4311yescharacteristic
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#124—438no—
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×D4318yescomplemented
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⋊Q8—438no—
1311#121—438no—
1312#121—438no—
1313#121—438no—
1314#121—438no—
1315#121—438no—
1316#121—438no—
1317#121—438no—
1318#121C22×D4318yes—
1319#121C22×D4318yes—
1320#121C22×D4318yescomplemented
1321#121C22×D4318yescomplemented
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×Q8—438no—
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×D4C22×D4318yes—
1355C4×D4C22×D4318yescomplemented
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#117—438no—
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—438no—
1392C2×C4⋊C4—431no—
1393C2×C4⋊C4—431no—
1394C2×C4⋊C4—431no—
1395C2×C4⋊C4—431no—
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—438no—
1412C2×C4⋊C4—438no—
1413C2×C4⋊C4—438no—
1414C2×C4⋊C4C22×D4311yescharacteristic
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×D4318yescomplemented
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—431no—
1446C2×C22⋊C4—431no—
1447C2×C22⋊C4—431no—
1448C2×C22⋊C4—431no—
1449C2×C22⋊C4—431no—
1450C2×C22⋊C4—431no—
1451C2×C22⋊C4—438no—
1452C2×C22⋊C4—438no—
1453C2×C22⋊C4—431no—
1454C2×C22⋊C4—431no—
1455C2×C22⋊C4—431no—
1456C2×C22⋊C4—431no—
1457C2×C22⋊C4—431no—
1458C2×C22⋊C4—431no—
1459C2×C22⋊C4—438no—
1460C2×C22⋊C4—438no—
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—431no—
1492C2×C42—431no—
1493C2×C42—438no—
1494C2×C42—438no—
1495C2×C42—431no—
1496C2×C42—438no—
1497C2×C42C22×D4311yescharacteristic
1498C2×C42C22×D4311yescharacteristic
1499C2×C42C22×D4311yescharacteristic
1500C24—431no—
1501C24—431no—
1502C24—431no—
1503C24—434no—
1504C24—434no—
1505C24—864no—
1506C24—864no—
1507C24—1722no—
1508C24—1722no—
1509C24—1722no—
1510C24—1722no—
1511C24C23×D4311yescharacteristic
1512C24C23×D4311yescharacteristic
1513C24C23×D4311yescharacteristic
1514C24C23×D4311yescharacteristic
1515#41—8632no—
1516#41—8632no—
1517C2×Q8—434no—
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×Q8—1722no—
1527C2×D4—24no—
1528C2×D4—24no—
1529C2×D4—24no—
1530C2×D4—42no—
1531C2×D4—42no—
1532C2×D4—42no—
1533C2×D4—438no—
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—8632no—
1546C2×D4—864no—
1547C2×D4—864no—
1548C2×D4—1722no—
1549C2×D4—1722no—
1550C2×D4—1722no—
1551C2×D4—1722no—
1552C2×D4C23×D4314yes—
1553C2×D4C23×D4314yes—
1554C2×D4C23×D4314yes—
1555C2×D4C23×D4314yes—
1556C2×D4C23×D4314yes—
1557C2×D4C23×D4314yes—
1558C22×C4—42no—
1559C22×C4—42no—
1560C22×C4—42no—
1561C22×C4—42no—
1562C22×C4—42no—
1563C22×C4—42no—
1564C22×C4—431no—
1565C22×C4—434no—
1566C22×C4—434no—
1567C22×C4—434no—
1568C22×C4—434no—
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—431no—
1578C22×C4—431no—
1579C22×C4—431no—
1580C22×C4—431no—
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—434no—
1594C22×C4—864no—
1595C22×C4—864no—
1596C22×C4—864no—
1597C22×C4—864no—
1598C22×C4—864no—
1599C22×C4—864no—
1600C22×C4—864no—
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×D4311yescharacteristic
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×D4314yes—
1623C22×C4C23×D4314yes—
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—
1732C42—434no—
1733C42—434no—
1734C42—434no—
1735C42C23×D4314yes—
1736C42C23×D4314yes—
1737C42C23×D4314yes—
1738C23—22no—
1739C23—22no—
1740C23—22no—
1741C23—22no—
1742C23—22no—
1743C23—22no—
1744C23—22no—
1745C23—22no—
1746C23—22no—
1747C23—22no—
1748C23—22no—
1749C23—434no—
1750C23—432no—
1751C23—432no—
1752C23—432no—
1753C23—868no—
1754C23—862no—
1755C23—862no—
1756C23—868no—
1757C23—862no—
1758C23—862no—
1759C23—862no—
1760C23—862no—
1761C23—862no—
1762C23—862no—
1763C23—3448no—
1764C23—3448no—
1765C23—1724no—
1766C23—1724no—
1767C23—1724no—
1768C23—1724no—
1769C23#41×D4314yes—
1770C23C24×D4312yes—
1771C23C24×D4312yes—
1772C23C24×D4312yes—
1773C23C24×D4312yes—
1774C23C24×D4311yescharacteristic
1775Q8—868no—
1776Q8—868no—
1777Q8—1724no—
1778Q8—1724no—
1779Q8—1724no—
1780D4—28no—
1781D4—28no—
1782D4—28no—
1783D4—44no—
1784D4—44no—
1785D4—44no—
1786D4—4316no—
1787D4—868no—
1788D4—868no—
1789D4—868no—
1790D4—868no—
1791D4—1724no—
1792D4—1724no—
1793D4—1724no—
1794D4—1724no—
1795C2×C4—22no—
1796C2×C4—22no—
1797C2×C4—22no—
1798C2×C4—22no—
1799C2×C4—22no—
1800C2×C4—22no—
1801C2×C4—22no—
1802C2×C4—22no—
1803C2×C4—22no—
1804C2×C4—22no—
1805C2×C4—22no—
1806C2×C4—44no—
1807C2×C4—44no—
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—432no—
1826C2×C4—868no—
1827C2×C4—868no—
1828C2×C4—868no—
1829C2×C4—868no—
1830C2×C4—868no—
1831C2×C4—862no—
1832C2×C4—862no—
1833C2×C4—862no—
1834C2×C4—862no—
1835C2×C4—868no—
1836C2×C4—868no—
1837C2×C4—862no—
1838C2×C4—862no—
1839C2×C4—862no—
1840C2×C4—862no—
1841C2×C4—862no—
1842C2×C4—862no—
1843C2×C4—862no—
1844C2×C4—862no—
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×C4—1724no—
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—22no—
1876C22—22no—
1877C22—22no—
1878C22—44no—
1879C22—44no—
1880C22—44no—
1881C22—434no—
1882C22—862no—
1883C22—862no—
1884C22—868no—
1885C22—862no—
1886C22—862no—
1887C22—862no—
1888C22—862no—
1889C22—862no—
1890C22—862no—
1891C22—3448no—
1892C22—3448no—
1893C22—1724no—
1894C22—1724no—
1895C22C2×#41×D4314yes—
1896C22C2×#41×D4312yes—
1897C22#1458373412yes—
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—434no—
1912C4—862no—
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—42no—
1928C2—864no—
1929C2—1722no—
1930C2—1722no—
1931C2#1914865414yesdirect product factor
1932C2C22×#41×D4311yescharacteristic
1933C2C2×#1458373411yescharacteristic
1934C2C2×#1458373511yescharacteristic
subgroupG/H
centerC23C24×D43
commutator, cosocleC22×C43C26
FrattiniC22C25×D43
FittingC2×C43×#553C2
socleC23×C43C25
hypercenterC2×#553D43
hypocenterC43C2×#3521
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×#553

Complements

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

NH ≅ G/Ntype
1. #19148654C2direct (N × H)
2. C2×#14583616C2semidirect
3. C2×#14583616C2semidirect
4. C2×#14583604C2semidirect
5. C2×#14583594C2semidirect
6. C2×#14583592C2semidirect
7. C2×#14583589C2semidirect
8. C2×#14583582C2semidirect
9. C2×#14583581C2semidirect
10. C2×#14583578C2semidirect
11. C2×#14583578C2semidirect
12. C2×#14583578C2semidirect
13. C2×#14583572C2semidirect
14. C2×#14583549C2semidirect
15. C2×#14583538C2semidirect
16. C2×#14583538C2semidirect
17. C2×#14583517C2semidirect
18. C2×#14583508C2semidirect
19. C2×#14583494C2semidirect
20. C2×#14583490C2semidirect
21. C2×#14583486C2semidirect
22. C2×#14583481C2semidirect
23. C2×#14583430C2semidirect
24. C2×#14583429C2semidirect
25. C2×#14583427C2semidirect
26. C2×#14583426C2semidirect
27. C22×#13063320C2semidirect
28. C2×#126×D43C2semidirect
29. C2×#14583378C2semidirect
30. C2×#14583371C2semidirect
31. C2×C4×#10621900C2semidirect
32. C2×C43×#553C2semidirect
36. #14583616C22semidirect
37. #14583616C22semidirect
38. #14583604C22semidirect
39. #14583594C22semidirect
40. #14583592C22semidirect
41. #14583589C22semidirect
42. #14583582C22semidirect
43. #14583581C22semidirect
44. #14583578C22semidirect
45. #14583578C22semidirect
46. #14583578C22semidirect
47. #14583572C22semidirect
48. #14583549C22semidirect
49. #14583538C22semidirect
50. #14583538C22semidirect
51. #14583517C22semidirect
52. #14583508C22semidirect
53. #14583494C22semidirect
54. #14583490C22semidirect
55. #14583486C22semidirect
56. #14583481C22semidirect
57. C2×#13063324C22semidirect
58. C2×#13063324C22semidirect
59. #14583430C22semidirect
60. #14583429C22semidirect
61. #14583427C22semidirect
62. #14583426C22semidirect
70. C2×#13063320C22semidirect
71. C2×#13063320C22semidirect
72. C2×#13063320C22semidirect
73. C2×#13063320C22semidirect
74. C2×#13063320C22semidirect
75. C2×#13063320C22semidirect
78. C2×#13063318C22semidirect
79. C2×#13063318C22semidirect
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
93. C2×#13063312C22semidirect
99. C2×#13063311C22semidirect
103. C2×#13063309C22semidirect
106. C2×#13063307C22semidirect
107. C2×#13063307C22semidirect
108. C2×#13063307C22semidirect
109. C2×#13063307C22semidirect
112. C2×#13063306C22semidirect
113. C2×#13063306C22semidirect
114. C2×#13063306C22semidirect
115. C2×#13063306C22semidirect
116. C2×#13063305C22semidirect
117. C2×#13063304C22semidirect
118. C2×#13063304C22semidirect
119. C2×#13063304C22semidirect
120. C2×#13063304C22semidirect
123. C2×#13063303C22semidirect
124. C2×#13063303C22semidirect
125. C2×#13063303C22semidirect
126. C2×#13063303C22semidirect
127. C2×#13063302C22semidirect
128. C2×#13063302C22semidirect
129. C2×#13063302C22semidirect
130. C2×#13063302C22semidirect
136. C2×#13063297C22semidirect
137. C2×#13063296C22semidirect
142. #14583378C22semidirect
143. #14583371C22semidirect
144. C4×#10621900C22semidirect
145. C2×C4×Dic86C22semidirect
146. C2×C4×Dic86C22semidirect
147. C2×C4×Dic86C22semidirect
148. C2×#13063290C22semidirect
149. C2×#13063290C22semidirect
150. C2×#13063290C22semidirect
151. C2×#13063290C22semidirect
154. C2×D4×Dic43C22semidirect
155. C2×D4×Dic43C22semidirect
156. C2×D4×Dic43C22semidirect
157. C2×D4×Dic43C22semidirect
163. C2×C4×C22⋊D43C22semidirect
164. C2×C4×C22⋊D43C22semidirect
165. C2×C4×C22⋊D43C22semidirect
166. C2×C4×C22⋊D43C22semidirect
171. C2×(C22⋊D43)⋊C4C22semidirect
172. C2×(C22⋊D43)⋊C4C22semidirect
173. C2×#13063284C22semidirect
175. C2×#13063283C22semidirect
177. C2×#13063282C22semidirect
178. C2×#13063282C22semidirect
179. C2×#13063282C22semidirect
180. C2×#13063281C22semidirect
181. C2×#13063281C22semidirect
182. C2×#13063281C22semidirect
183. C2×#13063281C22semidirect
184. C2×#13063281C22semidirect
185. C2×#13063281C22semidirect
186. C22×C4⋊Dic43C22semidirect
187. C22×Dic43⋊C4C22semidirect
188. C22×Dic43⋊C4C22semidirect
189. C2×C4⋊C4×D43C22semidirect
190. C2×C4⋊C4×D43C22semidirect
191. C2×C4⋊C4×D43C22semidirect
200. C22×C4×Dic43C22semidirect
201. C22×C4×Dic43C22semidirect
202. C2×C42×D43C22semidirect
203. C43×#553C22semidirect
204. C2×#126×C43C22semidirect
205. C2×#126×C43C22semidirect
206. C2×#125×C43C22semidirect
207. C2×#123×C43C22semidirect
208. C2×#123×C43C22semidirect
211. C2×#121×C43C22semidirect
212. C2×#121×C43C22semidirect
214. C2×C4×D4×C43C22semidirect
215. C2×C4×D4×C43C22semidirect
216. C2×C4×D4×C43C22semidirect
217. C2×#117×C43C22semidirect
218. C22×C4⋊C4×C43C22semidirect
258. #13063324C23semidirect
259. #13063324C23semidirect
267. #13063320C23semidirect
268. #13063320C23semidirect
269. #13063320C23semidirect
270. #13063320C23semidirect
271. #13063320C23semidirect
274. #13063318C23semidirect
275. #13063318C23semidirect
276. #13063318C23semidirect
277. #13063318C23semidirect
278. #13063318C23semidirect
279. #13063318C23semidirect
280. #13063317C23semidirect
281. #13063316C23semidirect
282. #13063315C23semidirect
283. #13063315C23semidirect
284. #13063315C23semidirect
285. #13063315C23semidirect
286. #13063315C23semidirect
287. #13063315C23semidirect
288. #13063312C23semidirect
294. #13063311C23semidirect
298. #13063309C23semidirect
301. #13063307C23semidirect
302. #13063307C23semidirect
303. #13063307C23semidirect
304. #13063307C23semidirect
307. #13063306C23semidirect
308. #13063306C23semidirect
309. #13063306C23semidirect
310. #13063306C23semidirect
311. #13063305C23semidirect
312. #13063304C23semidirect
313. #13063304C23semidirect
314. #13063304C23semidirect
315. #13063304C23semidirect
318. #13063303C23semidirect
319. #13063303C23semidirect
320. #13063303C23semidirect
321. #13063303C23semidirect
322. #13063302C23semidirect
323. #13063302C23semidirect
324. #13063302C23semidirect
325. #13063302C23semidirect
331. #13063297C23semidirect
332. #13063296C23semidirect
337. C4×Dic86C23semidirect
338. C4×Dic86C23semidirect
339. C4×Dic86C23semidirect
340. #13063290C23semidirect
341. #13063290C23semidirect
342. #13063290C23semidirect
343. #13063290C23semidirect
346. D4×Dic43C23semidirect
347. D4×Dic43C23semidirect
348. D4×Dic43C23semidirect
349. D4×Dic43C23semidirect
355. C4×C22⋊D43C23semidirect
356. C4×C22⋊D43C23semidirect
357. C4×C22⋊D43C23semidirect
358. C4×C22⋊D43C23semidirect
363. (C22⋊D43)⋊C4C23semidirect
364. (C22⋊D43)⋊C4C23semidirect
365. #13063284C23semidirect
367. #13063283C23semidirect
369. #13063282C23semidirect
370. #13063282C23semidirect
371. #13063282C23semidirect
372. #13063281C23semidirect
373. #13063281C23semidirect
374. #13063281C23semidirect
375. #13063281C23semidirect
376. #13063281C23semidirect
377. #13063281C23semidirect
388. C2×C4⋊Dic43C23semidirect
415. C2×Dic43⋊C4C23semidirect
416. C2×Dic43⋊C4C23semidirect
417. C4⋊C4×D43C23semidirect
418. C4⋊C4×D43C23semidirect
419. C4⋊C4×D43C23semidirect
479. C2×C4×Dic43C23semidirect
480. C2×C4×Dic43C23semidirect
481. C42×D43C23semidirect
494. #126×C43C23semidirect
495. #126×C43C23semidirect
496. #125×C43C23semidirect
497. #123×C43C23semidirect
498. #123×C43C23semidirect
501. #121×C43C23semidirect
502. #121×C43C23semidirect
504. C4×D4×C43C23semidirect
505. C4×D4×C43C23semidirect
506. C4×D4×C43C23semidirect
507. #117×C43C23semidirect
518. C2×C4⋊C4×C43C23semidirect
963. C2×#553D43semidirect
993. C2×C43#3521semidirect
1008. #553C2×D43semidirect
1053. C2×#126C2×D43semidirect
1054. C2×#126C2×D43semidirect
1063. C2×#125C2×D43semidirect
1087. C2×#123C2×D43semidirect
1088. C2×#123C2×D43semidirect
1113. C2×#121C2×D43semidirect
1114. C2×#121C2×D43semidirect
1151. C2×C4×D4C2×D43semidirect
1152. C2×C4×D4C2×D43semidirect
1153. C2×C4×D4C2×D43semidirect
1167. C2×#117C2×D43semidirect
1174. C22×C4⋊C4C2×D43semidirect
1186. C43C2×#3521semidirect
1260. #126C22×D43semidirect
1261. #126C22×D43semidirect
1270. #125C22×D43semidirect
1294. #123C22×D43semidirect
1295. #123C22×D43semidirect
1320. #121C22×D43semidirect
1321. #121C22×D43semidirect
1355. C4×D4C22×D43semidirect
1356. C4×D4C22×D43semidirect
1357. C4×D4C22×D43semidirect
1371. #117C22×D43semidirect
1424. C2×C4⋊C4C22×D43semidirect
1931. C2#19148654direct (N × H)

Maximal subgroups

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

subgroupindex
#191486542
C2×#145836162
C2×#145836042
C2×#145835942
C2×#145835922
C2×#145835892
C2×#145835822
C2×#145835812
C2×#145835782
C2×#145835722
C2×#145835492
C2×#145835382
C2×#145835172
C2×#145835082
C2×#145834942
C2×#145834902
C2×#145834862
C2×#145834812
C2×#145834302
C2×#145834292
C2×#145834272
C2×#145834262
C22×#130633202
C2×#126×D432
C2×#145833782
C2×#145833712
C2×C4×#106219002
C2×C43×#5532
C2×#352143