Finite Group Databasebeta

← C2×#19149138 #26004013

Subgroups — C2×#19149138 #26004013

Order 11008.

7398 conjugacy classes of subgroups.

The subgroup lattice has 2032 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19149138C2132yesmaximal, direct product factor
2C2×#14583648C211yesmaximal, characteristic, complemented
3C2×#14583640C211yesmaximal, characteristic, complemented
4C2×#14583640C211yesmaximal, characteristic, complemented
5C2×#14583602C211yesmaximal, characteristic, complemented
6C2×#14583602C211yesmaximal, characteristic, complemented
7C2×#14583600C211yesmaximal, characteristic, complemented
8C2×#14583594C211yesmaximal, characteristic, complemented
9C2×#14583576C211yesmaximal, characteristic, complemented
10C2×#14583574C211yesmaximal, characteristic, complemented
11C2×#14583552C211yesmaximal, characteristic, complemented
12C2×#14583551C211yesmaximal, characteristic, complemented
13C2×#14583542C211yesmaximal, characteristic, complemented
14C2×#14583541C211yesmaximal, characteristic, complemented
15C2×#14583540C211yesmaximal, characteristic, complemented
16C2×#14583540C211yesmaximal, characteristic, complemented
17C2×#14583523C211yesmaximal, characteristic, complemented
18C2×#14583519C211yesmaximal, characteristic, complemented
19C2×#14583497C211yesmaximal, characteristic, complemented
20C2×#14583497C211yesmaximal, characteristic, complemented
21C2×#14583495C211yesmaximal, characteristic, complemented
22C2×#14583489C211yesmaximal, characteristic, complemented
23C2×#14583488C211yesmaximal, characteristic, complemented
24C2×#14583488C211yesmaximal, characteristic, complemented
25C2×#14583485C211yesmaximal, characteristic, complemented
26C2×#14583483C211yesmaximal, characteristic, complemented
27C2×#14583479C211yesmaximal, characteristic, complemented
28C2×#14583460C211yesmaximal, characteristic, complemented
29C2×#14583450C211yesmaximal, characteristic, complemented
30C2×#14583432C211yesmaximal, characteristic, complemented
31C2×#126×D43C211yesmaximal, characteristic, complemented
32C2×C43×#563C211yesmaximal, characteristic, complemented
33C22×#10621902C2211yescharacteristic, complemented
34C22×#10621902C2211yescharacteristic, complemented
35C22×#10621902C2211yescharacteristic, complemented
36C22×#10621898C2211yescharacteristic, complemented
37C23×D172C2211yescharacteristic
38C22×D4×D43C2211yescharacteristic
39#14583648C22116yescomplemented
40#14583640C22116yescomplemented
41#14583640C22116yescomplemented
42#14583602C22116yescomplemented
43#14583602C22116yescomplemented
44#14583600C22116yescomplemented
45#14583594C22116yescomplemented
46#14583576C22116yescomplemented
47#14583574C22116yescomplemented
48#14583552C22116yescomplemented
49#14583551C22116yescomplemented
50#14583542C22116yescomplemented
51#14583541C22116yescomplemented
52#14583540C22116yescomplemented
53#14583540C22116yescomplemented
54#14583523C22116yescomplemented
55#14583519C22116yescomplemented
56#14583497C22116yescomplemented
57#14583497C22116yescomplemented
58#14583495C22116yescomplemented
59#14583489C22116yescomplemented
60#14583488C22116yescomplemented
61#14583488C22116yescomplemented
62#14583485C22116yescomplemented
63#14583483C22116yescomplemented
64#14583479C22116yescomplemented
65#14583460C22116yescomplemented
66#14583450C22116yescomplemented
67C2×#13063323C2211yescharacteristic, complemented
68C2×#13063322C2211yescharacteristic, complemented
69#14583432C22116yescomplemented
70C2×#13063320C2211yescharacteristic, complemented
71C2×#13063320C2211yescharacteristic, complemented
72C2×#13063320C2211yescharacteristic, complemented
73C2×#13063320C2211yescharacteristic, complemented
74C2×#13063320C2211yescharacteristic, complemented
75C2×#13063320C2211yescharacteristic, complemented
76C2×#13063320C2211yescharacteristic, complemented
77C2×#13063320C2211yescharacteristic, complemented
78C2×#13063319C2211yescharacteristic, complemented
79C2×#13063319C2211yescharacteristic, complemented
80C2×#13063319C2211yescharacteristic, complemented
81C2×#13063318C2211yescharacteristic, complemented
82C2×#13063318C2211yescharacteristic, complemented
83C2×#13063318C2211yescharacteristic, complemented
84#126×D43C22116yescomplemented
85C2×#13063315C2211yescharacteristic, complemented
86C2×#13063315C2211yescharacteristic, complemented
87C2×#13063315C2211yescharacteristic, complemented
88C2×#13063314C2211yescharacteristic
89C2×#13063314C2211yescharacteristic
90C2×#13063314C2211yescharacteristic, complemented
91C2×#13063314C2211yescharacteristic, complemented
92C2×#13063313C2211yescharacteristic, complemented
93C2×#13063311C2211yescharacteristic
94C2×#13063311C2211yescharacteristic, complemented
95C2×#13063311C2211yescharacteristic, complemented
96C2×#13063310C2211yescharacteristic
97C2×#13063310C2211yescharacteristic
98C2×#13063310C2211yescharacteristic
99C2×#13063310C2211yescharacteristic
100C2×#13063310C2211yescharacteristic, complemented
101C2×#13063310C2211yescharacteristic, complemented
102C2×#13063310C2211yescharacteristic, complemented
103C2×#13063310C2211yescharacteristic, complemented
104C2×#13063310C2211yescharacteristic, complemented
105C2×#13063310C2211yescharacteristic, complemented
106C2×#13063310C2211yescharacteristic, complemented
107C2×#13063310C2211yescharacteristic, complemented
108C2×#13063310C2211yescharacteristic, complemented
109C2×#13063310C2211yescharacteristic, complemented
110C2×#13063310C2211yescharacteristic, complemented
111C2×#13063310C2211yescharacteristic, complemented
112C2×#13063309C2211yescharacteristic, complemented
113C2×#13063308C2211yescharacteristic
114C2×#13063307C2211yescharacteristic
115C2×#13063307C2211yescharacteristic, complemented
116C2×#13063307C2211yescharacteristic, complemented
117C2×#13063307C2211yescharacteristic, complemented
118C2×#13063305C2211yescharacteristic, complemented
119C2×#13063305C2211yescharacteristic, complemented
120C2×#13063303C2211yescharacteristic, complemented
121C2×#13063303C2211yescharacteristic, complemented
122C2×#13063303C2211yescharacteristic, complemented
123C2×#13063303C2211yescharacteristic, complemented
124C2×#13063303C2211yescharacteristic, complemented
125C2×#13063301C2211yescharacteristic, complemented
126C2×#13063301C2211yescharacteristic, complemented
127C2×#13063301C2211yescharacteristic, complemented
128C2×#13063301C2211yescharacteristic, complemented
129C2×#13063300C2211yescharacteristic
130C2×#13063300C2211yescharacteristic
131C2×#13063300C2211yescharacteristic
132C2×#13063300C2211yescharacteristic
133C2×#13063300C2211yescharacteristic
134C2×#13063300C2211yescharacteristic
135C2×#13063300C2211yescharacteristic, complemented
136C2×#13063300C2211yescharacteristic, complemented
137C2×#13063300C2211yescharacteristic, complemented
138C2×#13063300C2211yescharacteristic, complemented
139C2×#13063300C2211yescharacteristic, complemented
140C2×#13063300C2211yescharacteristic, complemented
141C2×#13063300C2211yescharacteristic, complemented
142C2×#13063300C2211yescharacteristic, complemented
143C2×#13063299C2211yescharacteristic, complemented
144C2×#13063298C2211yescharacteristic
145C2×#13063298C2211yescharacteristic
146C2×#13063298C2211yescharacteristic
147C2×#13063298C2211yescharacteristic
148C2×#13063298C2211yescharacteristic, complemented
149C2×#13063298C2211yescharacteristic, complemented
150C2×#13063298C2211yescharacteristic, complemented
151C2×#13063298C2211yescharacteristic, complemented
152C2×#13063298C2211yescharacteristic, complemented
153C2×#13063298C2211yescharacteristic, complemented
154C2×#13063297C2211yescharacteristic
155C2×#13063296C2211yescharacteristic
156C2×#13063295C2211yescharacteristic
157C2×#13063295C2211yescharacteristic
158C2×#13063295C2211yescharacteristic
159C2×#13063295C2211yescharacteristic
160C2×#13063295C2211yescharacteristic
161C2×#13063295C2211yescharacteristic, complemented
162C2×#13063295C2211yescharacteristic, complemented
163C2×#13063295C2211yescharacteristic, complemented
164C2×#13063295C2211yescharacteristic, complemented
165C2×#13063293C2211yescharacteristic
166C2×#13063290C2211yescharacteristic, complemented
167C2×C4×D172C2211yescharacteristic, complemented
168C2×C4×D172C2211yescharacteristic, complemented
169C2×C4×D172C2211yescharacteristic, complemented
170C2×C4×D172C2211yescharacteristic, complemented
171C2×C4×D172C2211yescharacteristic, complemented
172C2×#13063287C2211yescharacteristic, complemented
173C2×#13063287C2211yescharacteristic, complemented
174C2×#13063287C2211yescharacteristic, complemented
175C2×#13063287C2211yescharacteristic, complemented
176C2×#13063287C2211yescharacteristic, complemented
177C2×#13063287C2211yescharacteristic, complemented
178C2×#13063287C2211yescharacteristic, complemented
179C2×#13063287C2211yescharacteristic, complemented
180C2×C4×C22⋊D43C2211yescharacteristic, complemented
181C2×C4×C22⋊D43C2211yescharacteristic, complemented
182C2×C4×C22⋊D43C2211yescharacteristic, complemented
183C2×(C22⋊D43)⋊C4C2211yescharacteristic, complemented
184C2×(C22⋊D43)⋊C4C2211yescharacteristic, complemented
185C2×(C22⋊D43)⋊C4C2211yescharacteristic, complemented
186C2×#13063283C2211yescharacteristic, complemented
187C2×#13063283C2211yescharacteristic, complemented
188C2×#13063282C2211yescharacteristic, complemented
189C2×#13063281C2211yescharacteristic, complemented
190C2×C4⋊C4×D43C2211yescharacteristic, complemented
191C2×C4⋊C4×D43C2211yescharacteristic, complemented
192C2×C4⋊C4×D43C2211yescharacteristic, complemented
193C2×C4⋊C4×D43C2211yescharacteristic, complemented
194C2×C4⋊C4×D43C2211yescharacteristic, complemented
195C22×(C2×D43)⋊C4C2211yescharacteristic, complemented
196C2×C22⋊C4×D43C2211yescharacteristic
197C2×C22⋊C4×D43C2211yescharacteristic
198C2×C22⋊C4×D43C2211yescharacteristic
199C2×C22⋊C4×D43C2211yescharacteristic, complemented
200C2×C22⋊C4×D43C2211yescharacteristic, complemented
201C2×C22⋊C4×D43C2211yescharacteristic, complemented
202C2×C42×D43C2211yescharacteristic, complemented
203C43×#563C22116yescomplemented
204C2×C4⋊Q8×C43C2211yescharacteristic, complemented
205C2×C4⋊Q8×C43C2211yescharacteristic, complemented
206C2×#126×C43C2211yescharacteristic, complemented
207C2×#126×C43C2211yescharacteristic, complemented
208C2×#126×C43C2211yescharacteristic, complemented
209C2×#126×C43C2211yescharacteristic, complemented
210C2×#125×C43C2211yescharacteristic, complemented
211C2×#125×C43C2211yescharacteristic, complemented
212C2×#124×C43C2211yescharacteristic
213C2×#123×C43C2211yescharacteristic
214C2×#123×C43C2211yescharacteristic
215C2×C22⋊Q8×C43C2211yescharacteristic, complemented
216C2×C22⋊Q8×C43C2211yescharacteristic, complemented
217C2×C22⋊Q8×C43C2211yescharacteristic, complemented
218C2×C22⋊Q8×C43C2211yescharacteristic, complemented
219C24×D43C2311yescharacteristic
220C24×D43C2311yescharacteristic
221C24×D43C2311yescharacteristic
222C2×#10621902—44no—
223C2×#10621902—44no—
224C2×#10621902—44no—
225C2×#10621902C2318yescomplemented
226C2×#10621902C2318yescomplemented
227C2×#10621902C2318yescomplemented
228C2×#10621898—44no—
229C2×#10621898C2318yescomplemented
230C22×Dic86C2311yescharacteristic
231C22×Dic86C2311yescharacteristic
232C22×D172—44no—
233C22×D172C2311yescharacteristic
234C22×D172C2311yescharacteristic
235C22×D172C2311yescharacteristic
236C22×D172C2311yescharacteristic
237C22×D172C2311yescharacteristic
238C22×D172C2311yescharacteristic
239C22×D172C2311yescharacteristic
240C22×D172C2311yescharacteristic
241C22×D172C2311yescharacteristic
242C22×D172C2311yescharacteristic
243C22×D172C2311yescharacteristic
244C22×D172C2311yescharacteristic
245C22×D172C2311yescharacteristic
246C22×D172C2311yescharacteristic
247C22×D172C2311yescharacteristic
248C22×D172C2311yescharacteristic
249C22×D172C2311yescharacteristic
250C22×D172C2311yescharacteristic
251C22×D172C2318yes—
252C22×C22⋊D43C2311yescharacteristic
253C22×C22⋊D43C2311yescharacteristic
254C22×C22⋊D43C2311yescharacteristic
255C22×C22⋊D43C2311yescharacteristic
256C22×C22⋊D43C2311yescharacteristic
257C22×C22⋊D43C2311yescharacteristic
258C22×C22⋊D43C2311yescharacteristic
259C22×C22⋊D43C2311yescharacteristic
260C2×D4×D43—44no—
261C2×D4×D43C2318yes—
262C23×Dic43C2311yescharacteristic
263C22×C4×D43C2311yescharacteristic
264C22×C4×D43C2311yescharacteristic
265C22×C4×D43C2311yescharacteristic
266C22×C4×D43C2311yescharacteristic
267C22×C4×D43C2311yescharacteristic
268C22×C4×D43C2311yescharacteristic
269C22×C4×D43C2311yescharacteristic
270C22×C4×D43C2311yescharacteristic
271C22×C4×D43C2311yescharacteristic
272C22×C4×D43C2311yescharacteristic
273C22×C4×D43C2311yescharacteristic
274C22×C4×D43C2311yescharacteristic
275C22×C4×D43C2311yescharacteristic
276C22×C4×D43C2311yescharacteristic
277C22×C4×D43C2311yescharacteristic
278C22×C4×D43C2311yescharacteristic
279C22×C4×D43C2311yescharacteristic
280C22×C4×D43C2311yescharacteristic
281C22×C4×D43C2311yescharacteristic
282#13063323C2318yescomplemented
283#13063322C2318yescomplemented
284#13063320C2318yescomplemented
285#13063320C2318yescomplemented
286#13063320C2318yescomplemented
287#13063320C2318yescomplemented
288#13063320C2318yescomplemented
289#13063320C2318yescomplemented
290#13063320C2318yescomplemented
291#13063320C2318yescomplemented
292#13063319C2318yescomplemented
293#13063319C2318yescomplemented
294#13063319C2318yescomplemented
295#13063318C2318yescomplemented
296#13063318C2318yescomplemented
297#13063318C2318yescomplemented
298#13063315C2318yescomplemented
299#13063315C2318yescomplemented
300#13063315C2318yescomplemented
301#13063314C2318yes—
302#13063314C2318yes—
303#13063314C2318yescomplemented
304#13063314C2318yescomplemented
305#13063313C2318yescomplemented
306#13063311C2318yes—
307#13063311C2318yescomplemented
308#13063311C2318yescomplemented
309#13063310C2318yes—
310#13063310C2318yes—
311#13063310C2318yes—
312#13063310C2318yes—
313#13063310C2318yescomplemented
314#13063310C2318yescomplemented
315#13063310C2318yescomplemented
316#13063310C2318yescomplemented
317#13063310C2318yescomplemented
318#13063310C2318yescomplemented
319#13063310C2318yescomplemented
320#13063310C2318yescomplemented
321#13063310C2318yescomplemented
322#13063310C2318yescomplemented
323#13063310C2318yescomplemented
324#13063310C2318yescomplemented
325#13063309C2318yescomplemented
326#13063308C2318yes—
327#13063307C2318yes—
328#13063307C2318yescomplemented
329#13063307C2318yescomplemented
330#13063307C2318yescomplemented
331#13063305C2318yescomplemented
332#13063305C2318yescomplemented
333#13063303C2318yescomplemented
334#13063303C2318yescomplemented
335#13063303C2318yescomplemented
336#13063303C2318yescomplemented
337#13063303C2318yescomplemented
338#13063301C2318yescomplemented
339#13063301C2318yescomplemented
340#13063301C2318yescomplemented
341#13063301C2318yescomplemented
342#13063300C2318yes—
343#13063300C2318yes—
344#13063300C2318yes—
345#13063300C2318yes—
346#13063300C2318yes—
347#13063300C2318yes—
348#13063300C2318yescomplemented
349#13063300C2318yescomplemented
350#13063300C2318yescomplemented
351#13063300C2318yescomplemented
352#13063300C2318yescomplemented
353#13063300C2318yescomplemented
354#13063300C2318yescomplemented
355#13063300C2318yescomplemented
356#13063299C2318yescomplemented
357#13063298C2318yes—
358#13063298C2318yes—
359#13063298C2318yes—
360#13063298C2318yes—
361#13063298C2318yescomplemented
362#13063298C2318yescomplemented
363#13063298C2318yescomplemented
364#13063298C2318yescomplemented
365#13063298C2318yescomplemented
366#13063298C2318yescomplemented
367#13063297C2318yes—
368#13063296C2318yes—
369#13063295C2318yes—
370#13063295C2318yes—
371#13063295C2318yes—
372#13063295C2318yes—
373#13063295C2318yes—
374#13063295C2318yescomplemented
375#13063295C2318yescomplemented
376#13063295C2318yescomplemented
377#13063295C2318yescomplemented
378#13063293C2318yes—
379#13063290C2318yescomplemented
380C4×D172C2318yescomplemented
381C4×D172C2318yescomplemented
382C4×D172C2318yescomplemented
383C4×D172C2318yescomplemented
384C4×D172C2318yescomplemented
385#13063287C2318yescomplemented
386#13063287C2318yescomplemented
387#13063287C2318yescomplemented
388#13063287C2318yescomplemented
389#13063287C2318yescomplemented
390#13063287C2318yescomplemented
391#13063287C2318yescomplemented
392#13063287C2318yescomplemented
393C4×C22⋊D43C2318yescomplemented
394C4×C22⋊D43C2318yescomplemented
395C4×C22⋊D43C2318yescomplemented
396(C22⋊D43)⋊C4C2318yescomplemented
397(C22⋊D43)⋊C4C2318yescomplemented
398(C22⋊D43)⋊C4C2318yescomplemented
399#13063283C2318yescomplemented
400#13063283C2318yescomplemented
401#13063282C2318yescomplemented
402#13063281C2318yescomplemented
403C2×C4⋊Dic43C2311yescharacteristic
404C2×C4⋊Dic43C2311yescharacteristic
405C2×C4⋊Dic43C2311yescharacteristic
406C2×C4⋊Dic43C2311yescharacteristic
407C2×C4⋊Dic43C2311yescharacteristic
408C2×C4⋊Dic43C2311yescharacteristic
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⋊C4C2311yescharacteristic
418C2×Dic43⋊C4C2311yescharacteristic
419C2×Dic43⋊C4C2311yescharacteristic
420C2×Dic43⋊C4C2311yescharacteristic
421C2×Dic43⋊C4C2311yescharacteristic
422C2×Dic43⋊C4C2311yescharacteristic
423C2×Dic43⋊C4C2311yescharacteristic
424C2×Dic43⋊C4C2311yescharacteristic
425C4⋊C4×D43C2318yescomplemented
426C4⋊C4×D43C2318yescomplemented
427C4⋊C4×D43C2318yescomplemented
428C4⋊C4×D43C2318yescomplemented
429C4⋊C4×D43C2318yescomplemented
430C2×C22⋊Dic43C2311yescharacteristic
431C2×C22⋊Dic43C2311yescharacteristic
432C2×C22⋊Dic43C2311yescharacteristic
433C2×C22⋊Dic43C2311yescharacteristic
434C2×(C2×D43)⋊C4C2311yescharacteristic
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)⋊C4C2311yescharacteristic
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
464C2×(C2×D43)⋊C4C2311yescharacteristic
465C2×(C2×D43)⋊C4C2311yescharacteristic
466C2×(C2×D43)⋊C4C2311yescharacteristic
467C2×(C2×D43)⋊C4C2311yescharacteristic
468C2×(C2×D43)⋊C4C2311yescharacteristic
469C2×(C2×D43)⋊C4C2311yescharacteristic
470C2×(C2×D43)⋊C4C2318yescomplemented
471C22⋊C4×D43C2318yes—
472C22⋊C4×D43C2318yes—
473C22⋊C4×D43C2318yes—
474C22⋊C4×D43C2318yescomplemented
475C22⋊C4×D43C2318yescomplemented
476C22⋊C4×D43C2318yescomplemented
477C2×C4×Dic43C2311yescharacteristic
478C2×C4×Dic43C2311yescharacteristic
479C2×C4×Dic43C2311yescharacteristic
480C2×C4×Dic43C2311yescharacteristic
481C2×C4×Dic43C2311yescharacteristic
482C2×C4×Dic43C2311yescharacteristic
483C2×C4×Dic43C2311yescharacteristic
484C42×D43C2318yescomplemented
485C22×Q8×C43C2311yescharacteristic
486C22×Q8×C43C2311yescharacteristic
487C22×Q8×C43C2311yescharacteristic
488C22×D4×C43C2311yescharacteristic
489C23×C4×C43C2311yescharacteristic
490C23×C4×C43C2311yescharacteristic
491C4⋊Q8×C43C2318yescomplemented
492C4⋊Q8×C43C2318yescomplemented
493#126×C43C2318yescomplemented
494#126×C43C2318yescomplemented
495#126×C43C2318yescomplemented
496#126×C43C2318yescomplemented
497#125×C43C2318yescomplemented
498#125×C43C2318yescomplemented
499#124×C43C2318yes—
500#123×C43C2318yes—
501#123×C43C2318yes—
502C22⋊Q8×C43C2318yescomplemented
503C22⋊Q8×C43C2318yescomplemented
504C22⋊Q8×C43C2318yescomplemented
505C22⋊Q8×C43C2318yescomplemented
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×C4⋊C4×C43C2311yescharacteristic
516C2×C4⋊C4×C43C2311yescharacteristic
517C2×C4⋊C4×C43C2311yescharacteristic
518C2×C4⋊C4×C43C2311yescharacteristic
519C2×C4⋊C4×C43C2311yescharacteristic
520C2×C4⋊C4×C43C2311yescharacteristic
521C2×C4⋊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×C22⋊C4×C43C2311yescharacteristic
530C2×C22⋊C4×C43C2311yescharacteristic
531C2×C22⋊C4×C43C2311yescharacteristic
532C2×C42×C43C2311yescharacteristic
533C2×C42×C43C2311yescharacteristic
534C2×C42×C43C2311yescharacteristic
535C24×C43C2411yescharacteristic
536C24×C43C2411yescharacteristic
537C23×D43—24no—
538C23×D43—42no—
539C23×D43—42no—
540C23×D43—42no—
541C23×D43—42no—
542C23×D43—42no—
543C23×D43—42no—
544C23×D43—42no—
545C23×D43—42no—
546C23×D43C2411yescharacteristic
547C23×D43C2411yescharacteristic
548C23×D43C2411yescharacteristic
549C23×D43C2411yescharacteristic
550C23×D43C2411yescharacteristic
551C23×D43C2411yescharacteristic
552C23×D43C2411yescharacteristic
553C23×D43C2414yes—
554C23×D43C2414yes—
555C23×D43C2414yes—
556C2×Q8×C43—42no—
557C2×Q8×C43—42no—
558C2×Q8×C43—42no—
559C2×Q8×C43C2414yes—
560C2×Q8×C43C2414yes—
561C2×Q8×C43C2414yes—
562C2×D4×C43—42no—
563C2×D4×C43C2414yes—
564C22×C4×C43—42no—
565C22×C4×C43—42no—
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×C43C2411yescharacteristic
577C22×C4×C43C2411yescharacteristic
578C22×C4×C43C2411yescharacteristic
579C22×C4×C43C2414yes—
580C22×C4×C43C2414yes—
581C2×C22⋊D43—24no—
582C2×C22⋊D43—42no—
583C2×C22⋊D43—42no—
584C2×C22⋊D43—42no—
585C2×C22⋊D43—42no—
586C2×C22⋊D43—42no—
587C2×C22⋊D43—42no—
588C2×C22⋊D43—42no—
589C2×C22⋊D43C2414yes—
590C2×C22⋊D43C2414yes—
591C2×C22⋊D43C2414yes—
592C2×C22⋊D43C2414yes—
593C2×C22⋊D43C2414yes—
594C2×C22⋊D43C2414yes—
595C2×C22⋊D43C2414yes—
596C2×C22⋊D43C2414yes—
597C22×Dic43—42no—
598C22×Dic43C2411yescharacteristic
599C22×Dic43C2411yescharacteristic
600C22×Dic43C2411yescharacteristic
601C22×Dic43C2411yescharacteristic
602C22×Dic43C2411yescharacteristic
603C22×Dic43C2411yescharacteristic
604C22×Dic43C2411yescharacteristic
605C22×Dic43C2411yescharacteristic
606C22×Dic43C2411yescharacteristic
607C22×Dic43C2414yes—
608#10621902—416no—
609#10621902—416no—
610#10621902—416no—
611D4×D43—416no—
612#10621898—416no—
613C2×D172—24no—
614C2×D172—24no—
615C2×D172—24no—
616C2×D172—24no—
617C2×D172—24no—
618C2×D172—42no—
619C2×D172—42no—
620C2×D172—42no—
621C2×D172—42no—
622C2×D172—42no—
623C2×D172—42no—
624C2×D172—42no—
625C2×D172—42no—
626C2×D172—42no—
627C2×D172—42no—
628C2×D172—42no—
629C2×D172—42no—
630C2×D172—42no—
631C2×D172—416no—
632C2×D172C2414yes—
633C2×D172C2414yes—
634C2×D172C2414yes—
635C2×D172C2414yes—
636C2×D172C2414yes—
637C2×D172C2414yes—
638C2×D172C2414yes—
639C2×D172C2414yes—
640C2×D172C2414yes—
641C2×D172C2414yes—
642C2×D172C2414yes—
643C2×D172C2414yes—
644C2×D172C2414yes—
645C2×D172C2414yes—
646C2×D172C2414yes—
647C2×D172C2414yes—
648C2×D172C2414yes—
649C2×D172C2414yes—
650C2×C4×D43—24no—
651C2×C4×D43—24no—
652C2×C4×D43—42no—
653C2×C4×D43—42no—
654C2×C4×D43—42no—
655C2×C4×D43—42no—
656C2×C4×D43—42no—
657C2×C4×D43—42no—
658C2×C4×D43—42no—
659C2×C4×D43—42no—
660C2×C4×D43—42no—
661C2×C4×D43—42no—
662C2×C4×D43—42no—
663C2×C4×D43—42no—
664C2×C4×D43—42no—
665C2×C4×D43—42no—
666C2×C4×D43—42no—
667C2×C4×D43—42no—
668C2×C4×D43—42no—
669C2×C4×D43C2414yes—
670C2×C4×D43C2414yes—
671C2×C4×D43C2414yes—
672C2×C4×D43C2414yes—
673C2×C4×D43C2414yes—
674C2×C4×D43C2414yes—
675C2×C4×D43C2414yes—
676C2×C4×D43C2414yes—
677C2×C4×D43C2414yes—
678C2×C4×D43C2414yes—
679C2×C4×D43C2414yes—
680C2×C4×D43C2414yes—
681C2×C4×D43C2414yes—
682C2×C4×D43C2414yes—
683C2×C4×D43C2414yes—
684C2×C4×D43C2414yes—
685C2×C4×D43C2414yes—
686C2×C4×D43C2414yes—
687C2×C4×D43C2414yes—
688C2×Dic86—42no—
689C2×Dic86—42no—
690C2×Dic86C2414yes—
691C2×Dic86C2414yes—
692C4⋊C4×C43C2414yes—
693C4⋊C4×C43C2414yes—
694C4⋊C4×C43C2414yes—
695C4⋊C4×C43C2414yes—
696C4⋊C4×C43C2414yes—
697C4⋊C4×C43C2414yes—
698C4⋊C4×C43C2414yes—
699C4⋊C4×C43C2414yes—
700C4⋊C4×C43C2414yes—
701C4⋊C4×C43C2414yes—
702C4⋊C4×C43C2414yes—
703C4⋊C4×C43C2414yes—
704C4⋊C4×C43C2414yes—
705C4⋊C4×C43C2414yes—
706C4⋊C4×C43C2414yes—
707C4⋊C4×C43C2414yes—
708C22⋊C4×C43C2414yes—
709C22⋊C4×C43C2414yes—
710C22⋊C4×C43C2414yes—
711C22⋊C4×C43C2414yes—
712C22⋊C4×C43C2414yes—
713C22⋊C4×C43C2414yes—
714C22⋊C4×C43C2414yes—
715C22⋊C4×C43C2414yes—
716C22⋊C4×C43C2414yes—
717C22⋊C4×C43C2414yes—
718C42×C43C2414yes—
719C42×C43C2414yes—
720C42×C43C2414yes—
721C22⋊Dic43C2414yes—
722C22⋊Dic43C2414yes—
723C22⋊Dic43C2414yes—
724C22⋊Dic43C2414yes—
725(C2×D43)⋊C4C2414yes—
726(C2×D43)⋊C4C2414yes—
727(C2×D43)⋊C4C2414yes—
728(C2×D43)⋊C4C2414yes—
729(C2×D43)⋊C4C2414yes—
730(C2×D43)⋊C4C2414yes—
731(C2×D43)⋊C4C2414yes—
732(C2×D43)⋊C4C2414yes—
733(C2×D43)⋊C4C2414yes—
734(C2×D43)⋊C4C2414yes—
735(C2×D43)⋊C4C2414yes—
736(C2×D43)⋊C4C2414yes—
737(C2×D43)⋊C4C2414yes—
738(C2×D43)⋊C4C2414yes—
739(C2×D43)⋊C4C2414yes—
740(C2×D43)⋊C4C2414yes—
741(C2×D43)⋊C4C2414yes—
742(C2×D43)⋊C4C2414yes—
743(C2×D43)⋊C4C2414yes—
744(C2×D43)⋊C4C2414yes—
745(C2×D43)⋊C4C2414yes—
746(C2×D43)⋊C4C2414yes—
747(C2×D43)⋊C4C2414yes—
748(C2×D43)⋊C4C2414yes—
749(C2×D43)⋊C4C2414yes—
750(C2×D43)⋊C4C2414yes—
751(C2×D43)⋊C4C2414yes—
752(C2×D43)⋊C4C2414yes—
753(C2×D43)⋊C4C2414yes—
754(C2×D43)⋊C4C2414yes—
755(C2×D43)⋊C4C2414yes—
756(C2×D43)⋊C4C2414yes—
757(C2×D43)⋊C4C2414yes—
758(C2×D43)⋊C4C2414yes—
759(C2×D43)⋊C4C2414yes—
760(C2×D43)⋊C4C2414yes—
761C4⋊Dic43C2414yes—
762C4⋊Dic43C2414yes—
763C4⋊Dic43C2414yes—
764C4⋊Dic43C2414yes—
765C4⋊Dic43C2414yes—
766C4⋊Dic43C2414yes—
767Dic43⋊C4C2414yes—
768Dic43⋊C4C2414yes—
769Dic43⋊C4C2414yes—
770Dic43⋊C4C2414yes—
771Dic43⋊C4C2414yes—
772Dic43⋊C4C2414yes—
773Dic43⋊C4C2414yes—
774Dic43⋊C4C2414yes—
775Dic43⋊C4C2414yes—
776Dic43⋊C4C2414yes—
777Dic43⋊C4C2414yes—
778Dic43⋊C4C2414yes—
779Dic43⋊C4C2414yes—
780Dic43⋊C4C2414yes—
781Dic43⋊C4C2414yes—
782Dic43⋊C4C2414yes—
783C4×Dic43C2414yes—
784C4×Dic43C2414yes—
785C4×Dic43C2414yes—
786C4×Dic43C2414yes—
787C4×Dic43C2414yes—
788C4×Dic43C2414yes—
789C4×Dic43C2414yes—
790C23×C43—22no—
791C23×C43—22no—
792C23×C43—22no—
793C23×C43—22no—
794C23×C43—22no—
795C23×C43—22no—
796C23×C43C2512yes—
797C23×C43C2512yes—
798C23×C43C2511yescharacteristic
799C22×D43—22no—
800C22×D43—22no—
801C22×D43—22no—
802C22×D43—22no—
803C22×D43—22no—
804C22×D43—22no—
805C22×D43—22no—
806C22×D43—22no—
807C22×D43—22no—
808C22×D43—22no—
809C22×D43—22no—
810C22×D43—22no—
811C22×D43—22no—
812C22×D43—22no—
813C22×D43—22no—
814C22×D43—22no—
815C22×D43—22no—
816C22×D43—22no—
817C22×D43—22no—
818C22×D43—22no—
819C22×D43—28no—
820C22×D43—44no—
821C22×D43—44no—
822C22×D43—44no—
823C22×D43—44no—
824C22×D43—44no—
825C22×D43—44no—
826C22×D43—44no—
827C22×D43—44no—
828C22×D43—88no—
829C22×D43—88no—
830C22×D43—88no—
831C22×D43H(5,𝔽2)14yes—
832C22×D43C2512yes—
833C22×D43C2512yes—
834C22×D43C2512yes—
835C22×D43C2512yes—
836C22×D43C2512yes—
837C22×D43C2512yes—
838C22×D43C2512yes—
839Q8×C43—44no—
840Q8×C43—44no—
841Q8×C43—44no—
842D4×C43—44no—
843C2×C4×C43—22no—
844C2×C4×C43—22no—
845C2×C4×C43—22no—
846C2×C4×C43—22no—
847C2×C4×C43—22no—
848C2×C4×C43—22no—
849C2×C4×C43—22no—
850C2×C4×C43—22no—
851C2×C4×C43—22no—
852C2×C4×C43—22no—
853C2×C4×C43—22no—
854C2×C4×C43—22no—
855C2×C4×C43—22no—
856C2×C4×C43—44no—
857C2×C4×C43—44no—
858C2×C4×C43C2512yes—
859C2×C4×C43C2512yes—
860C2×C4×C43C2512yes—
861C2×C4×C43C2512yes—
862C2×C4×C43C2512yes—
863C2×C4×C43C2512yes—
864C2×C4×C43C2512yes—
865C2×C4×C43C2512yes—
866C2×C4×C43C2512yes—
867C2×C4×C43C2512yes—
868C2×C4×C43C2512yes—
869C2×C4×C43C2512yes—
870C2×C4×C43C2512yes—
871C22⋊D43—28no—
872C22⋊D43—44no—
873C22⋊D43—44no—
874C22⋊D43—44no—
875C22⋊D43—44no—
876C22⋊D43—44no—
877C22⋊D43—44no—
878C22⋊D43—44no—
879C2×Dic43—22no—
880C2×Dic43—22no—
881C2×Dic43—22no—
882C2×Dic43—22no—
883C2×Dic43—22no—
884C2×Dic43—22no—
885C2×Dic43—22no—
886C2×Dic43—22no—
887C2×Dic43—22no—
888C2×Dic43—44no—
889C2×Dic43C2512yes—
890C2×Dic43C2512yes—
891C2×Dic43C2512yes—
892C2×Dic43C2512yes—
893C2×Dic43C2512yes—
894C2×Dic43C2512yes—
895C2×Dic43C2512yes—
896C2×Dic43C2512yes—
897C2×Dic43C2512yes—
898D172—28no—
899D172—28no—
900D172—28no—
901D172—28no—
902D172—28no—
903D172—44no—
904D172—44no—
905D172—44no—
906D172—44no—
907D172—44no—
908D172—44no—
909D172—44no—
910D172—44no—
911D172—44no—
912D172—44no—
913D172—44no—
914D172—44no—
915D172—44no—
916C4×D43—28no—
917C4×D43—28no—
918C4×D43—44no—
919C4×D43—44no—
920C4×D43—44no—
921C4×D43—44no—
922C4×D43—44no—
923C4×D43—44no—
924C4×D43—44no—
925C4×D43—44no—
926C4×D43—44no—
927C4×D43—44no—
928C4×D43—44no—
929C4×D43—44no—
930C4×D43—44no—
931C4×D43—44no—
932C4×D43—44no—
933C4×D43—44no—
934C4×D43—44no—
935Dic86—44no—
936Dic86—44no—
937C2×#3560—431nomaximal, Sylow
938C22×C43—22no—
939C22×C43—22no—
940C22×C43—22no—
941C22×C43—22no—
942C22×C43—22no—
943C22×C43—22no—
944C22×C43—44no—
945C22×C43—44no—
946C22×C43C2×H(5,𝔽2)12yes—
947C22×C43#58512yes—
948C22×C43#58512yes—
949C22×C43C2611yescharacteristic
950C2×D43—22no—
951C2×D43—22no—
952C2×D43—28no—
953C2×D43—22no—
954C2×D43—22no—
955C2×D43—22no—
956C2×D43—22no—
957C2×D43—22no—
958C2×D43—22no—
959C2×D43—22no—
960C2×D43—22no—
961C2×D43—22no—
962C2×D43—22no—
963C2×D43—22no—
964C2×D43—22no—
965C2×D43—22no—
966C2×D43—22no—
967C2×D43—22no—
968C2×D43—22no—
969C2×D43—22no—
970C2×D43—22no—
971C2×D43—44no—
972C2×D43—44no—
973C2×D43—44no—
974C2×D43—44no—
975C2×D43—44no—
976C2×D43—44no—
977C2×D43—88no—
978C2×D43—88no—
979C2×D43—88no—
980C2×D43C2×H(5,𝔽2)14yes—
981C4×C43—22no—
982C4×C43—22no—
983C4×C43—22no—
984C4×C43—22no—
985C4×C43—22no—
986C4×C43—22no—
987C4×C43—22no—
988C4×C43—22no—
989C4×C43—22no—
990C4×C43—22no—
991C4×C43—22no—
992C4×C43—22no—
993C4×C43—22no—
994Dic43—22no—
995Dic43—22no—
996Dic43—22no—
997Dic43—22no—
998Dic43—22no—
999Dic43—22no—
1000Dic43—22no—
1001Dic43—22no—
1002Dic43—22no—
1003#3560—4332no—
1004C2×#563—431no—
1005C2×#563D4311yescharacteristic, complemented
1006C2×#560—431no—
1007C2×#560—431no—
1008C2×#553—431no—
1009C2×#553—431no—
1010C2×#553—431no—
1011C2×#553—431no—
1012C2×#551—431no—
1013C2×#551—431no—
1014C2×#547—431no—
1015C2×#547—431no—
1016C2×#546—431no—
1017C2×#546—431no—
1018C2×#546—431no—
1019C2×#546—431no—
1020C2×#542—431no—
1021C2×#542—431no—
1022C2×#539—431no—
1023C2×#539—431no—
1024C2×#539—431no—
1025C2×#538—431no—
1026C2×#538—431no—
1027C2×#538—431no—
1028C2×#538—431no—
1029C2×#538—431no—
1030C2×#537—431no—
1031C2×#534—431no—
1032C2×#532—431no—
1033C2×#529—431no—
1034C22×#126—431no—
1035C2×C43—42no—
1036C2×C43—42no—
1037C2×C43#356014yescomplemented
1038C2×C43C22×H(5,𝔽2)11yescharacteristic
1039C2×C43C2×#58511yescharacteristic
1040C2×C43C2×#58511yescharacteristic
1041D43—24no—
1042D43—42no—
1043D43—42no—
1044D43—42no—
1045D43—42no—
1046D43—42no—
1047D43—42no—
1048C22×#41—431no—
1049C22×#41—431no—
1050C22×#41—431no—
1051C22×#41—431no—
1052C23×D4—431no—
1053C23×D4—431no—
1054#563—4316no—
1055#563C2×D43116yescomplemented
1056#560—4316no—
1057#560—4316no—
1058#553—4316no—
1059#553—4316no—
1060#553—4316no—
1061#553—4316no—
1062#551—4316no—
1063#551—4316no—
1064#547—4316no—
1065#547—4316no—
1066#546—4316no—
1067#546—4316no—
1068#546—4316no—
1069#546—4316no—
1070#542—4316no—
1071#542—4316no—
1072#539—4316no—
1073#539—4316no—
1074#539—4316no—
1075#538—4316no—
1076#538—4316no—
1077#538—4316no—
1078#538—4316no—
1079#538—4316no—
1080#537—4316no—
1081#534—4316no—
1082#532—4316no—
1083C2×C4⋊Q8—431no—
1084C2×C4⋊Q8C2×D4311yescharacteristic, complemented
1085C2×C4⋊Q8C2×D4311yescharacteristic, complemented
1086C2×#127—431no—
1087#529—4316no—
1088C2×#126—4316no—
1089C2×#126—431no—
1090C2×#126—431no—
1091C2×#126—431no—
1092C2×#126—431no—
1093C2×#126—431no—
1094C2×#126—431no—
1095C2×#126—431no—
1096C2×#126—431no—
1097C2×#126—431no—
1098C2×#126—431no—
1099C2×#126—431no—
1100C2×#126—431no—
1101C2×#126—431no—
1102C2×#126—431no—
1103C2×#126C2×D4311yescharacteristic, complemented
1104C2×#126C2×D4311yescharacteristic, complemented
1105C2×#126C2×D4311yescharacteristic, complemented
1106C2×#126C2×D4311yescharacteristic, complemented
1107C2×#125—431no—
1108C2×#125—431no—
1109C2×#125—431no—
1110C2×#125C2×D4311yescharacteristic, complemented
1111C2×#125C2×D4311yescharacteristic, complemented
1112C2×#124—431no—
1113C2×#124—431no—
1114C2×#124—431no—
1115C2×#124—431no—
1116C2×#124—431no—
1117C2×#124—431no—
1118C2×#124—431no—
1119C2×#124—431no—
1120C2×#124C2×D4311yescharacteristic
1121C2×#123—431no—
1122C2×#123—431no—
1123C2×#123—431no—
1124C2×#123—431no—
1125C2×#123—431no—
1126C2×#123—431no—
1127C2×#123—431no—
1128C2×#123—431no—
1129C2×#123—431no—
1130C2×#123—431no—
1131C2×#123—431no—
1132C2×#123—431no—
1133C2×#123—431no—
1134C2×#123—431no—
1135C2×#123—431no—
1136C2×#123—431no—
1137C2×#123—431no—
1138C2×#123—431no—
1139C2×#123—431no—
1140C2×#123—431no—
1141C2×#123—431no—
1142C2×#123—431no—
1143C2×#123C2×D4311yescharacteristic
1144C2×#123C2×D4311yescharacteristic
1145C2×C22⋊Q8—431no—
1146C2×C22⋊Q8—431no—
1147C2×C22⋊Q8—431no—
1148C2×C22⋊Q8—431no—
1149C2×C22⋊Q8—431no—
1150C2×C22⋊Q8—431no—
1151C2×C22⋊Q8—431no—
1152C2×C22⋊Q8—431no—
1153C2×C22⋊Q8—431no—
1154C2×C22⋊Q8—431no—
1155C2×C22⋊Q8—431no—
1156C2×C22⋊Q8C2×D4311yescharacteristic, complemented
1157C2×C22⋊Q8C2×D4311yescharacteristic, complemented
1158C2×C22⋊Q8C2×D4311yescharacteristic, complemented
1159C2×C22⋊Q8C2×D4311yescharacteristic, complemented
1160C2×#121—431no—
1161C2×#121—431no—
1162C2×#121—431no—
1163C2×#121—431no—
1164C2×#121—431no—
1165C2×#121—431no—
1166C2×#121—431no—
1167C2×#121—431no—
1168C2×#121—431no—
1169C2×#121—431no—
1170C2×#121—431no—
1171C2×#121—431no—
1172C2×#121—431no—
1173C2×#121—431no—
1174C2×#121—431no—
1175C2×#121—431no—
1176C2×#121—431no—
1177C2×#121—431no—
1178C2×#121—431no—
1179C2×#121—431no—
1180C2×#121—431no—
1181C2×#121—431no—
1182C2×#121—431no—
1183C2×#121—431no—
1184C2×#121—431no—
1185C2×#121—431no—
1186C2×#121—431no—
1187C2×#120—431no—
1188C2×#120—431no—
1189C2×#120—431no—
1190C2×#120—431no—
1191C2×#120—431no—
1192C2×#120—431no—
1193C2×#120—431no—
1194C2×#120—431no—
1195C2×#120—431no—
1196C2×#120—431no—
1197C2×C4×Q8—431no—
1198C2×C4×D4—431no—
1199C2×C4×D4—431no—
1200C2×C4×D4—431no—
1201C2×C4×D4—431no—
1202C2×C4×D4—431no—
1203C2×C4×D4—431no—
1204C2×C4×D4—431no—
1205C2×C4×D4—431no—
1206C2×C4×D4—431no—
1207C2×C4×D4—431no—
1208C2×C4×D4—431no—
1209C2×C4×D4—431no—
1210C2×C4×D4—431no—
1211C2×C4×D4—431no—
1212C2×C4×D4—431no—
1213C2×C4×D4—431no—
1214C2×C4×D4—431no—
1215C2×C4×D4—431no—
1216C2×C4×D4—431no—
1217C2×#117—431no—
1218C2×#117—431no—
1219C2×#117—431no—
1220C2×#117—431no—
1221C22×C4⋊C4—431no—
1222C22×C4⋊C4—431no—
1223C22×C4⋊C4—431no—
1224C22×C4⋊C4—431no—
1225C22×C4⋊C4—431no—
1226C22×C22⋊C4—431no—
1227C22×C22⋊C4—431no—
1228C22×C22⋊C4—431no—
1229C22×C22⋊C4—431no—
1230C22×C22⋊C4—431no—
1231C22×C22⋊C4—431no—
1232C22×C22⋊C4—431no—
1233C22×C42—431no—
1234C43C2×#356011yescharacteristic, complemented, Sylow
1235C25—431no—
1236C25—431no—
1237C25—431no—
1238C2×#41—438no—
1239C2×#41—438no—
1240C2×#41—438no—
1241C2×#41—438no—
1242C2×#41—1724no—
1243C2×#41—1724no—
1244C2×#41—1724no—
1245C2×#41—1724no—
1246C22×Q8—431no—
1247C22×Q8—431no—
1248C22×Q8C22×D4311yescharacteristic
1249C22×Q8C22×D4311yescharacteristic
1250C22×Q8C22×D4311yescharacteristic
1251C22×D4—431no—
1252C22×D4—431no—
1253C22×D4—431no—
1254C22×D4—431no—
1255C22×D4—431no—
1256C22×D4—431no—
1257C22×D4—431no—
1258C22×D4—431no—
1259C22×D4—438no—
1260C22×D4—431no—
1261C22×D4—431no—
1262C22×D4—431no—
1263C22×D4—431no—
1264C22×D4—431no—
1265C22×D4—431no—
1266C22×D4—431no—
1267C22×D4—431no—
1268C22×D4—431no—
1269C22×D4—431no—
1270C22×D4—431no—
1271C22×D4—431no—
1272C22×D4—431no—
1273C22×D4—431no—
1274C22×D4—431no—
1275C22×D4—431no—
1276C22×D4—431no—
1277C22×D4—431no—
1278C22×D4—438no—
1279C22×D4—1724no—
1280C22×D4—1724no—
1281C22×D4C22×D4311yescharacteristic
1282C23×C4—431no—
1283C23×C4—431no—
1284C23×C4—431no—
1285C23×C4—431no—
1286C23×C4—431no—
1287C23×C4—431no—
1288C23×C4—431no—
1289C23×C4—431no—
1290C23×C4—431no—
1291C23×C4—431no—
1292C23×C4—431no—
1293C23×C4—431no—
1294C23×C4—431no—
1295C23×C4—431no—
1296C23×C4—431no—
1297C23×C4—431no—
1298C23×C4—431no—
1299C23×C4—431no—
1300C23×C4—431no—
1301C23×C4—431no—
1302C23×C4C22×D4311yescharacteristic
1303C23×C4C22×D4311yescharacteristic
1304C4⋊Q8—438no—
1305C4⋊Q8C22×D4318yescomplemented
1306C4⋊Q8C22×D4318yescomplemented
1307#127—438no—
1308#126—438no—
1309#126—438no—
1310#126—438no—
1311#126—438no—
1312#126—438no—
1313#126—438no—
1314#126—438no—
1315#126—438no—
1316#126—438no—
1317#126—438no—
1318#126—438no—
1319#126—438no—
1320#126—438no—
1321#126—438no—
1322#126C22×D4318yescomplemented
1323#126C22×D4318yescomplemented
1324#126C22×D4318yescomplemented
1325#126C22×D4318yescomplemented
1326#125—438no—
1327#125—438no—
1328#125—438no—
1329#125C22×D4318yescomplemented
1330#125C22×D4318yescomplemented
1331#124—438no—
1332#124—438no—
1333#124—438no—
1334#124—438no—
1335#124—438no—
1336#124—438no—
1337#124—438no—
1338#124—438no—
1339#124C22×D4318yes—
1340#123—438no—
1341#123—438no—
1342#123—438no—
1343#123—438no—
1344#123—438no—
1345#123—438no—
1346#123—438no—
1347#123—438no—
1348#123—438no—
1349#123—438no—
1350#123—438no—
1351#123—438no—
1352#123—438no—
1353#123—438no—
1354#123—438no—
1355#123—438no—
1356#123—438no—
1357#123—438no—
1358#123—438no—
1359#123—438no—
1360#123—438no—
1361#123—438no—
1362#123C22×D4318yes—
1363#123C22×D4318yes—
1364C22⋊Q8—438no—
1365C22⋊Q8—438no—
1366C22⋊Q8—438no—
1367C22⋊Q8—438no—
1368C22⋊Q8—438no—
1369C22⋊Q8—438no—
1370C22⋊Q8—438no—
1371C22⋊Q8—438no—
1372C22⋊Q8—438no—
1373C22⋊Q8—438no—
1374C22⋊Q8—438no—
1375C22⋊Q8C22×D4318yescomplemented
1376C22⋊Q8C22×D4318yescomplemented
1377C22⋊Q8C22×D4318yescomplemented
1378C22⋊Q8C22×D4318yescomplemented
1379#121—438no—
1380#121—438no—
1381#121—438no—
1382#121—438no—
1383#121—438no—
1384#121—438no—
1385#121—438no—
1386#121—438no—
1387#121—438no—
1388#121—438no—
1389#121—438no—
1390#121—438no—
1391#121—438no—
1392#121—438no—
1393#121—438no—
1394#121—438no—
1395#121—438no—
1396#121—438no—
1397#121—438no—
1398#121—438no—
1399#121—438no—
1400#121—438no—
1401#121—438no—
1402#121—438no—
1403#121—438no—
1404#121—438no—
1405#121—438no—
1406#120—438no—
1407#120—438no—
1408#120—438no—
1409#120—438no—
1410#120—438no—
1411#120—438no—
1412#120—438no—
1413#120—438no—
1414#120—438no—
1415#120—438no—
1416C4×Q8—438no—
1417C4×D4—438no—
1418C4×D4—438no—
1419C4×D4—438no—
1420C4×D4—438no—
1421C4×D4—438no—
1422C4×D4—438no—
1423C4×D4—438no—
1424C4×D4—438no—
1425C4×D4—438no—
1426C4×D4—438no—
1427C4×D4—438no—
1428C4×D4—438no—
1429C4×D4—438no—
1430C4×D4—438no—
1431C4×D4—438no—
1432C4×D4—438no—
1433C4×D4—438no—
1434C4×D4—438no—
1435C4×D4—438no—
1436#117—438no—
1437#117—438no—
1438#117—438no—
1439#117—438no—
1440C2×C4⋊C4—431no—
1441C2×C4⋊C4—431no—
1442C2×C4⋊C4—431no—
1443C2×C4⋊C4—431no—
1444C2×C4⋊C4—431no—
1445C2×C4⋊C4—431no—
1446C2×C4⋊C4—431no—
1447C2×C4⋊C4—431no—
1448C2×C4⋊C4—431no—
1449C2×C4⋊C4—431no—
1450C2×C4⋊C4—431no—
1451C2×C4⋊C4—431no—
1452C2×C4⋊C4—431no—
1453C2×C4⋊C4—431no—
1454C2×C4⋊C4—431no—
1455C2×C4⋊C4—431no—
1456C2×C4⋊C4—431no—
1457C2×C4⋊C4—431no—
1458C2×C4⋊C4—431no—
1459C2×C4⋊C4—431no—
1460C2×C4⋊C4—431no—
1461C2×C4⋊C4—431no—
1462C2×C4⋊C4—438no—
1463C2×C4⋊C4—438no—
1464C2×C4⋊C4—438no—
1465C2×C4⋊C4—438no—
1466C2×C4⋊C4—438no—
1467C2×C4⋊C4C22×D4311yescharacteristic
1468C2×C4⋊C4C22×D4311yescharacteristic
1469C2×C4⋊C4C22×D4311yescharacteristic
1470C2×C4⋊C4C22×D4311yescharacteristic
1471C2×C4⋊C4C22×D4311yescharacteristic
1472C2×C4⋊C4C22×D4311yescharacteristic
1473C2×C4⋊C4C22×D4311yescharacteristic
1474C2×C4⋊C4C22×D4311yescharacteristic
1475C2×C4⋊C4C22×D4311yescharacteristic
1476C2×C4⋊C4C22×D4311yescharacteristic
1477C2×C4⋊C4C22×D4311yescharacteristic
1478C2×C4⋊C4C22×D4311yescharacteristic
1479C2×C4⋊C4C22×D4311yescharacteristic
1480C2×C4⋊C4C22×D4311yescharacteristic
1481C2×C4⋊C4C22×D4311yescharacteristic
1482C2×C4⋊C4C22×D4311yescharacteristic
1483C2×C22⋊C4—431no—
1484C2×C22⋊C4—431no—
1485C2×C22⋊C4—431no—
1486C2×C22⋊C4—431no—
1487C2×C22⋊C4—431no—
1488C2×C22⋊C4—431no—
1489C2×C22⋊C4—431no—
1490C2×C22⋊C4—431no—
1491C2×C22⋊C4—431no—
1492C2×C22⋊C4—431no—
1493C2×C22⋊C4—431no—
1494C2×C22⋊C4—431no—
1495C2×C22⋊C4—431no—
1496C2×C22⋊C4—431no—
1497C2×C22⋊C4—431no—
1498C2×C22⋊C4—431no—
1499C2×C22⋊C4—431no—
1500C2×C22⋊C4—431no—
1501C2×C22⋊C4—438no—
1502C2×C22⋊C4—431no—
1503C2×C22⋊C4—431no—
1504C2×C22⋊C4—431no—
1505C2×C22⋊C4—431no—
1506C2×C22⋊C4—431no—
1507C2×C22⋊C4—431no—
1508C2×C22⋊C4—431no—
1509C2×C22⋊C4—431no—
1510C2×C22⋊C4—431no—
1511C2×C22⋊C4—431no—
1512C2×C22⋊C4—431no—
1513C2×C22⋊C4—431no—
1514C2×C22⋊C4—431no—
1515C2×C22⋊C4—431no—
1516C2×C22⋊C4—431no—
1517C2×C22⋊C4—431no—
1518C2×C22⋊C4—431no—
1519C2×C22⋊C4—431no—
1520C2×C22⋊C4—431no—
1521C2×C22⋊C4—431no—
1522C2×C22⋊C4—431no—
1523C2×C22⋊C4—431no—
1524C2×C22⋊C4—438no—
1525C2×C22⋊C4—438no—
1526C2×C22⋊C4—438no—
1527C2×C22⋊C4—438no—
1528C2×C22⋊C4—438no—
1529C2×C22⋊C4—438no—
1530C2×C22⋊C4C22×D4311yescharacteristic
1531C2×C22⋊C4C22×D4311yescharacteristic
1532C2×C22⋊C4C22×D4311yescharacteristic
1533C2×C22⋊C4C22×D4311yescharacteristic
1534C2×C22⋊C4C22×D4311yescharacteristic
1535C2×C22⋊C4C22×D4311yescharacteristic
1536C2×C22⋊C4C22×D4311yescharacteristic
1537C2×C22⋊C4C22×D4311yescharacteristic
1538C2×C22⋊C4C22×D4311yescharacteristic
1539C2×C22⋊C4C22×D4311yescharacteristic
1540C2×C42—431no—
1541C2×C42—431no—
1542C2×C42—431no—
1543C2×C42—431no—
1544C2×C42—431no—
1545C2×C42—431no—
1546C2×C42—431no—
1547C2×C42—438no—
1548C2×C42C22×D4311yescharacteristic
1549C2×C42C22×D4311yescharacteristic
1550C2×C42C22×D4311yescharacteristic
1551C24—431no—
1552C24—431no—
1553C24—431no—
1554C24—431no—
1555C24—431no—
1556C24—431no—
1557C24—431no—
1558C24—434no—
1559C24—434no—
1560C24—434no—
1561C24—864no—
1562C24—1722no—
1563C24—1722no—
1564C24—1722no—
1565C24—1722no—
1566C24—1722no—
1567C24—1722no—
1568C24—1722no—
1569C24—1722no—
1570C24C23×D4311yescharacteristic
1571C24C23×D4311yescharacteristic
1572#41—17216no—
1573#41—17216no—
1574#41—17216no—
1575#41—17216no—
1576C2×Q8—42no—
1577C2×Q8—42no—
1578C2×Q8—42no—
1579C2×Q8—434no—
1580C2×Q8—434no—
1581C2×Q8—1722no—
1582C2×Q8—1722no—
1583C2×Q8C23×D4314yes—
1584C2×Q8C23×D4314yes—
1585C2×Q8C23×D4314yes—
1586C2×D4—42no—
1587C2×D4—434no—
1588C2×D4—434no—
1589C2×D4—434no—
1590C2×D4—434no—
1591C2×D4—434no—
1592C2×D4—434no—
1593C2×D4—434no—
1594C2×D4—434no—
1595C2×D4—434no—
1596C2×D4—434no—
1597C2×D4—434no—
1598C2×D4—434no—
1599C2×D4—434no—
1600C2×D4—434no—
1601C2×D4—434no—
1602C2×D4—434no—
1603C2×D4—434no—
1604C2×D4—434no—
1605C2×D4—434no—
1606C2×D4—434no—
1607C2×D4—434no—
1608C2×D4—434no—
1609C2×D4—434no—
1610C2×D4—434no—
1611C2×D4—434no—
1612C2×D4—434no—
1613C2×D4—864no—
1614C2×D4—864no—
1615C2×D4—864no—
1616C2×D4—864no—
1617C2×D4—864no—
1618C2×D4—864no—
1619C2×D4—1722no—
1620C2×D4—1722no—
1621C2×D4—1722no—
1622C2×D4—1722no—
1623C2×D4—1722no—
1624C2×D4—1722no—
1625C2×D4—1722no—
1626C2×D4—1722no—
1627C2×D4—1722no—
1628C2×D4—1722no—
1629C2×D4—1722no—
1630C2×D4—1722no—
1631C2×D4—1722no—
1632C2×D4—17216no—
1633C2×D4—1722no—
1634C2×D4—1722no—
1635C2×D4—1722no—
1636C2×D4—1722no—
1637C2×D4—1722no—
1638C2×D4—1722no—
1639C2×D4—1722no—
1640C2×D4—17216no—
1641C2×D4C23×D4314yes—
1642C22×C4—42no—
1643C22×C4—42no—
1644C22×C4—431no—
1645C22×C4—431no—
1646C22×C4—431no—
1647C22×C4—431no—
1648C22×C4—431no—
1649C22×C4—431no—
1650C22×C4—431no—
1651C22×C4—431no—
1652C22×C4—431no—
1653C22×C4—434no—
1654C22×C4—434no—
1655C22×C4—434no—
1656C22×C4—434no—
1657C22×C4—434no—
1658C22×C4—434no—
1659C22×C4—434no—
1660C22×C4—434no—
1661C22×C4—434no—
1662C22×C4—434no—
1663C22×C4—434no—
1664C22×C4—434no—
1665C22×C4—434no—
1666C22×C4—434no—
1667C22×C4—434no—
1668C22×C4—434no—
1669C22×C4—434no—
1670C22×C4—434no—
1671C22×C4—434no—
1672C22×C4—434no—
1673C22×C4—864no—
1674C22×C4—864no—
1675C22×C4—1722no—
1676C22×C4—1722no—
1677C22×C4—1722no—
1678C22×C4—1722no—
1679C22×C4—1722no—
1680C22×C4—1722no—
1681C22×C4—1722no—
1682C22×C4—1722no—
1683C22×C4—1722no—
1684C22×C4—1722no—
1685C22×C4—1722no—
1686C22×C4—1722no—
1687C22×C4—1722no—
1688C22×C4—1722no—
1689C22×C4—1722no—
1690C22×C4—1722no—
1691C22×C4—1722no—
1692C22×C4—1722no—
1693C22×C4C23×D4311yescharacteristic
1694C22×C4C23×D4311yescharacteristic
1695C22×C4C23×D4311yescharacteristic
1696C22×C4C23×D4311yescharacteristic
1697C22×C4C23×D4311yescharacteristic
1698C22×C4C23×D4311yescharacteristic
1699C22×C4C23×D4311yescharacteristic
1700C22×C4C23×D4311yescharacteristic
1701C22×C4C23×D4311yescharacteristic
1702C22×C4C23×D4311yescharacteristic
1703C22×C4C23×D4311yescharacteristic
1704C22×C4C23×D4311yescharacteristic
1705C22×C4C23×D4311yescharacteristic
1706C22×C4C23×D4314yes—
1707C22×C4C23×D4314yes—
1708C4⋊C4—434no—
1709C4⋊C4—434no—
1710C4⋊C4—434no—
1711C4⋊C4—434no—
1712C4⋊C4—434no—
1713C4⋊C4—434no—
1714C4⋊C4—434no—
1715C4⋊C4—434no—
1716C4⋊C4—434no—
1717C4⋊C4—434no—
1718C4⋊C4—434no—
1719C4⋊C4—434no—
1720C4⋊C4—434no—
1721C4⋊C4—434no—
1722C4⋊C4—434no—
1723C4⋊C4—434no—
1724C4⋊C4—434no—
1725C4⋊C4—434no—
1726C4⋊C4—434no—
1727C4⋊C4—434no—
1728C4⋊C4—434no—
1729C4⋊C4—434no—
1730C4⋊C4C23×D4314yes—
1731C4⋊C4C23×D4314yes—
1732C4⋊C4C23×D4314yes—
1733C4⋊C4C23×D4314yes—
1734C4⋊C4C23×D4314yes—
1735C4⋊C4C23×D4314yes—
1736C4⋊C4C23×D4314yes—
1737C4⋊C4C23×D4314yes—
1738C4⋊C4C23×D4314yes—
1739C4⋊C4C23×D4314yes—
1740C4⋊C4C23×D4314yes—
1741C4⋊C4C23×D4314yes—
1742C4⋊C4C23×D4314yes—
1743C4⋊C4C23×D4314yes—
1744C4⋊C4C23×D4314yes—
1745C4⋊C4C23×D4314yes—
1746C22⋊C4—434no—
1747C22⋊C4—434no—
1748C22⋊C4—434no—
1749C22⋊C4—434no—
1750C22⋊C4—434no—
1751C22⋊C4—434no—
1752C22⋊C4—434no—
1753C22⋊C4—434no—
1754C22⋊C4—434no—
1755C22⋊C4—434no—
1756C22⋊C4—434no—
1757C22⋊C4—434no—
1758C22⋊C4—434no—
1759C22⋊C4—434no—
1760C22⋊C4—434no—
1761C22⋊C4—434no—
1762C22⋊C4—434no—
1763C22⋊C4—434no—
1764C22⋊C4—434no—
1765C22⋊C4—434no—
1766C22⋊C4—434no—
1767C22⋊C4—434no—
1768C22⋊C4—434no—
1769C22⋊C4—434no—
1770C22⋊C4—434no—
1771C22⋊C4—434no—
1772C22⋊C4—434no—
1773C22⋊C4—434no—
1774C22⋊C4—434no—
1775C22⋊C4—434no—
1776C22⋊C4—434no—
1777C22⋊C4—434no—
1778C22⋊C4—434no—
1779C22⋊C4—434no—
1780C22⋊C4—434no—
1781C22⋊C4—434no—
1782C22⋊C4—434no—
1783C22⋊C4—434no—
1784C22⋊C4—434no—
1785C22⋊C4—434no—
1786C22⋊C4C23×D4314yes—
1787C22⋊C4C23×D4314yes—
1788C22⋊C4C23×D4314yes—
1789C22⋊C4C23×D4314yes—
1790C22⋊C4C23×D4314yes—
1791C22⋊C4C23×D4314yes—
1792C22⋊C4C23×D4314yes—
1793C22⋊C4C23×D4314yes—
1794C22⋊C4C23×D4314yes—
1795C22⋊C4C23×D4314yes—
1796C42—434no—
1797C42—434no—
1798C42—434no—
1799C42—434no—
1800C42—434no—
1801C42—434no—
1802C42—434no—
1803C42C23×D4314yes—
1804C42C23×D4314yes—
1805C42C23×D4314yes—
1806C23—22no—
1807C23—22no—
1808C23—22no—
1809C23—22no—
1810C23—22no—
1811C23—22no—
1812C23—434no—
1813C23—432no—
1814C23—432no—
1815C23—432no—
1816C23—432no—
1817C23—432no—
1818C23—432no—
1819C23—432no—
1820C23—868no—
1821C23—862no—
1822C23—862no—
1823C23—862no—
1824C23—862no—
1825C23—862no—
1826C23—862no—
1827C23—862no—
1828C23—862no—
1829C23—862no—
1830C23—862no—
1831C23—862no—
1832C23—862no—
1833C23—862no—
1834C23—862no—
1835C23—862no—
1836C23—862no—
1837C23—862no—
1838C23—862no—
1839C23—862no—
1840C23—862no—
1841C23—3448no—
1842C23—3448no—
1843C23—3448no—
1844C23—1724no—
1845C23—1724no—
1846C23—1724no—
1847C23—1724no—
1848C23—1724no—
1849C23—1724no—
1850C23—1724no—
1851C23—1724no—
1852C23C24×D4312yes—
1853C23C24×D4312yes—
1854C23C24×D4311yescharacteristic
1855Q8—44no—
1856Q8—44no—
1857Q8—44no—
1858Q8—1724no—
1859Q8—1724no—
1860D4—44no—
1861D4—868no—
1862D4—868no—
1863D4—868no—
1864D4—868no—
1865D4—868no—
1866D4—868no—
1867D4—1724no—
1868D4—1724no—
1869D4—1724no—
1870D4—1724no—
1871D4—1724no—
1872D4—1724no—
1873D4—1724no—
1874D4—1724no—
1875D4—1724no—
1876D4—1724no—
1877D4—1724no—
1878D4—1724no—
1879D4—1724no—
1880D4—1724no—
1881D4—1724no—
1882D4—1724no—
1883D4—1724no—
1884D4—1724no—
1885D4—1724no—
1886D4—1724no—
1887C2×C4—22no—
1888C2×C4—22no—
1889C2×C4—22no—
1890C2×C4—22no—
1891C2×C4—22no—
1892C2×C4—22no—
1893C2×C4—22no—
1894C2×C4—22no—
1895C2×C4—22no—
1896C2×C4—22no—
1897C2×C4—22no—
1898C2×C4—22no—
1899C2×C4—22no—
1900C2×C4—44no—
1901C2×C4—44no—
1902C2×C4—432no—
1903C2×C4—432no—
1904C2×C4—432no—
1905C2×C4—432no—
1906C2×C4—432no—
1907C2×C4—432no—
1908C2×C4—432no—
1909C2×C4—432no—
1910C2×C4—432no—
1911C2×C4—868no—
1912C2×C4—868no—
1913C2×C4—862no—
1914C2×C4—862no—
1915C2×C4—862no—
1916C2×C4—862no—
1917C2×C4—862no—
1918C2×C4—862no—
1919C2×C4—862no—
1920C2×C4—862no—
1921C2×C4—862no—
1922C2×C4—1724no—
1923C2×C4—1724no—
1924C2×C4—1724no—
1925C2×C4—1724no—
1926C2×C4—1724no—
1927C2×C4—1724no—
1928C2×C4—1724no—
1929C2×C4—1724no—
1930C2×C4—1724no—
1931C2×C4—1724no—
1932C2×C4—1724no—
1933C2×C4—1724no—
1934C2×C4—1724no—
1935C2×C4—1724no—
1936C2×C4—1724no—
1937C2×C4—1724no—
1938C2×C4—1724no—
1939C2×C4—1724no—
1940C2×C4C24×D4312yes—
1941C2×C4C24×D4312yes—
1942C2×C4C24×D4312yes—
1943C2×C4C24×D4312yes—
1944C2×C4C24×D4312yes—
1945C2×C4C24×D4312yes—
1946C2×C4C24×D4312yes—
1947C2×C4C24×D4312yes—
1948C2×C4C24×D4312yes—
1949C2×C4C24×D4312yes—
1950C2×C4C24×D4312yes—
1951C2×C4C24×D4312yes—
1952C2×C4C24×D4312yes—
1953C22—22no—
1954C22—22no—
1955C22—22no—
1956C22—22no—
1957C22—22no—
1958C22—22no—
1959C22—44no—
1960C22—44no—
1961C22—434no—
1962C22—868no—
1963C22—862no—
1964C22—862no—
1965C22—862no—
1966C22—862no—
1967C22—862no—
1968C22—862no—
1969C22—862no—
1970C22—862no—
1971C22—862no—
1972C22—862no—
1973C22—862no—
1974C22—862no—
1975C22—862no—
1976C22—862no—
1977C22—862no—
1978C22—862no—
1979C22—862no—
1980C22—862no—
1981C22—862no—
1982C22—862no—
1983C22—3448no—
1984C22—3448no—
1985C22—3448no—
1986C22—1724no—
1987C22—1724no—
1988C22—1724no—
1989C22—1724no—
1990C22—1724no—
1991C22—1724no—
1992C22H(5,𝔽2)×D4312yes—
1993C22#1458373612yes—
1994C22#1458373612yes—
1995C22C25×D4311yescharacteristic
1996C4—22no—
1997C4—22no—
1998C4—22no—
1999C4—22no—
2000C4—22no—
2001C4—22no—
2002C4—22no—
2003C4—22no—
2004C4—22no—
2005C4—22no—
2006C4—22no—
2007C4—22no—
2008C4—22no—
2009C4—862no—
2010C4—862no—
2011C4—862no—
2012C4—862no—
2013C4—862no—
2014C4—862no—
2015C4—862no—
2016C4—862no—
2017C4—862no—
2018C2—42no—
2019C2—42no—
2020C2—864no—
2021C2—1722no—
2022C2—1722no—
2023C2—1722no—
2024C2—1722no—
2025C2—1722no—
2026C2—1722no—
2027C2#1914913814yesdirect product factor
2028C2C2×H(5,𝔽2)×D4311yescharacteristic
2029C2C2×#1458373611yescharacteristic
2030C2C2×#1458373611yescharacteristic
subgroupG/H
centerC23C24×D43
commutator, cosocleC22×C43C26
FrattiniC22C25×D43
FittingC2×C43×#563C2
socleC23×C43C25
hypercenterC2×#563D43
hypocenterC43C2×#3560
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×#563

Complements

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

NH ≅ G/Ntype
1. #19149138C2direct (N × H)
2. C2×#14583648C2semidirect
3. C2×#14583640C2semidirect
4. C2×#14583640C2semidirect
5. C2×#14583602C2semidirect
6. C2×#14583602C2semidirect
7. C2×#14583600C2semidirect
8. C2×#14583594C2semidirect
9. C2×#14583576C2semidirect
10. C2×#14583574C2semidirect
11. C2×#14583552C2semidirect
12. C2×#14583551C2semidirect
13. C2×#14583542C2semidirect
14. C2×#14583541C2semidirect
15. C2×#14583540C2semidirect
16. C2×#14583540C2semidirect
17. C2×#14583523C2semidirect
18. C2×#14583519C2semidirect
19. C2×#14583497C2semidirect
20. C2×#14583497C2semidirect
21. C2×#14583495C2semidirect
22. C2×#14583489C2semidirect
23. C2×#14583488C2semidirect
24. C2×#14583488C2semidirect
25. C2×#14583485C2semidirect
26. C2×#14583483C2semidirect
27. C2×#14583479C2semidirect
28. C2×#14583460C2semidirect
29. C2×#14583450C2semidirect
30. C2×#14583432C2semidirect
31. C2×#126×D43C2semidirect
32. C2×C43×#563C2semidirect
33. C22×#10621902C22semidirect
34. C22×#10621902C22semidirect
35. C22×#10621902C22semidirect
36. C22×#10621898C22semidirect
39. #14583648C22semidirect
40. #14583640C22semidirect
41. #14583640C22semidirect
42. #14583602C22semidirect
43. #14583602C22semidirect
44. #14583600C22semidirect
45. #14583594C22semidirect
46. #14583576C22semidirect
47. #14583574C22semidirect
48. #14583552C22semidirect
49. #14583551C22semidirect
50. #14583542C22semidirect
51. #14583541C22semidirect
52. #14583540C22semidirect
53. #14583540C22semidirect
54. #14583523C22semidirect
55. #14583519C22semidirect
56. #14583497C22semidirect
57. #14583497C22semidirect
58. #14583495C22semidirect
59. #14583489C22semidirect
60. #14583488C22semidirect
61. #14583488C22semidirect
62. #14583485C22semidirect
63. #14583483C22semidirect
64. #14583479C22semidirect
65. #14583460C22semidirect
66. #14583450C22semidirect
67. C2×#13063323C22semidirect
68. C2×#13063322C22semidirect
69. #14583432C22semidirect
70. C2×#13063320C22semidirect
71. C2×#13063320C22semidirect
72. C2×#13063320C22semidirect
73. C2×#13063320C22semidirect
74. C2×#13063320C22semidirect
75. C2×#13063320C22semidirect
76. C2×#13063320C22semidirect
77. C2×#13063320C22semidirect
78. C2×#13063319C22semidirect
79. C2×#13063319C22semidirect
80. C2×#13063319C22semidirect
81. C2×#13063318C22semidirect
82. C2×#13063318C22semidirect
83. C2×#13063318C22semidirect
84. #126×D43C22semidirect
85. C2×#13063315C22semidirect
86. C2×#13063315C22semidirect
87. C2×#13063315C22semidirect
90. C2×#13063314C22semidirect
91. C2×#13063314C22semidirect
92. C2×#13063313C22semidirect
94. C2×#13063311C22semidirect
95. C2×#13063311C22semidirect
100. C2×#13063310C22semidirect
101. C2×#13063310C22semidirect
102. C2×#13063310C22semidirect
103. C2×#13063310C22semidirect
104. C2×#13063310C22semidirect
105. C2×#13063310C22semidirect
106. C2×#13063310C22semidirect
107. C2×#13063310C22semidirect
108. C2×#13063310C22semidirect
109. C2×#13063310C22semidirect
110. C2×#13063310C22semidirect
111. C2×#13063310C22semidirect
112. C2×#13063309C22semidirect
115. C2×#13063307C22semidirect
116. C2×#13063307C22semidirect
117. C2×#13063307C22semidirect
118. C2×#13063305C22semidirect
119. C2×#13063305C22semidirect
120. C2×#13063303C22semidirect
121. C2×#13063303C22semidirect
122. C2×#13063303C22semidirect
123. C2×#13063303C22semidirect
124. C2×#13063303C22semidirect
125. C2×#13063301C22semidirect
126. C2×#13063301C22semidirect
127. C2×#13063301C22semidirect
128. C2×#13063301C22semidirect
135. C2×#13063300C22semidirect
136. C2×#13063300C22semidirect
137. C2×#13063300C22semidirect
138. C2×#13063300C22semidirect
139. C2×#13063300C22semidirect
140. C2×#13063300C22semidirect
141. C2×#13063300C22semidirect
142. C2×#13063300C22semidirect
143. C2×#13063299C22semidirect
148. C2×#13063298C22semidirect
149. C2×#13063298C22semidirect
150. C2×#13063298C22semidirect
151. C2×#13063298C22semidirect
152. C2×#13063298C22semidirect
153. C2×#13063298C22semidirect
161. C2×#13063295C22semidirect
162. C2×#13063295C22semidirect
163. C2×#13063295C22semidirect
164. C2×#13063295C22semidirect
166. C2×#13063290C22semidirect
167. C2×C4×D172C22semidirect
168. C2×C4×D172C22semidirect
169. C2×C4×D172C22semidirect
170. C2×C4×D172C22semidirect
171. C2×C4×D172C22semidirect
172. C2×#13063287C22semidirect
173. C2×#13063287C22semidirect
174. C2×#13063287C22semidirect
175. C2×#13063287C22semidirect
176. C2×#13063287C22semidirect
177. C2×#13063287C22semidirect
178. C2×#13063287C22semidirect
179. C2×#13063287C22semidirect
180. C2×C4×C22⋊D43C22semidirect
181. C2×C4×C22⋊D43C22semidirect
182. C2×C4×C22⋊D43C22semidirect
183. C2×(C22⋊D43)⋊C4C22semidirect
184. C2×(C22⋊D43)⋊C4C22semidirect
185. C2×(C22⋊D43)⋊C4C22semidirect
186. C2×#13063283C22semidirect
187. C2×#13063283C22semidirect
188. C2×#13063282C22semidirect
189. C2×#13063281C22semidirect
190. C2×C4⋊C4×D43C22semidirect
191. C2×C4⋊C4×D43C22semidirect
192. C2×C4⋊C4×D43C22semidirect
193. C2×C4⋊C4×D43C22semidirect
194. C2×C4⋊C4×D43C22semidirect
195. C22×(C2×D43)⋊C4C22semidirect
199. C2×C22⋊C4×D43C22semidirect
200. C2×C22⋊C4×D43C22semidirect
201. C2×C22⋊C4×D43C22semidirect
202. C2×C42×D43C22semidirect
203. C43×#563C22semidirect
204. C2×C4⋊Q8×C43C22semidirect
205. C2×C4⋊Q8×C43C22semidirect
206. C2×#126×C43C22semidirect
207. C2×#126×C43C22semidirect
208. C2×#126×C43C22semidirect
209. C2×#126×C43C22semidirect
210. C2×#125×C43C22semidirect
211. C2×#125×C43C22semidirect
215. C2×C22⋊Q8×C43C22semidirect
216. C2×C22⋊Q8×C43C22semidirect
217. C2×C22⋊Q8×C43C22semidirect
218. C2×C22⋊Q8×C43C22semidirect
225. C2×#10621902C23semidirect
226. C2×#10621902C23semidirect
227. C2×#10621902C23semidirect
229. C2×#10621898C23semidirect
282. #13063323C23semidirect
283. #13063322C23semidirect
284. #13063320C23semidirect
285. #13063320C23semidirect
286. #13063320C23semidirect
287. #13063320C23semidirect
288. #13063320C23semidirect
289. #13063320C23semidirect
290. #13063320C23semidirect
291. #13063320C23semidirect
292. #13063319C23semidirect
293. #13063319C23semidirect
294. #13063319C23semidirect
295. #13063318C23semidirect
296. #13063318C23semidirect
297. #13063318C23semidirect
298. #13063315C23semidirect
299. #13063315C23semidirect
300. #13063315C23semidirect
303. #13063314C23semidirect
304. #13063314C23semidirect
305. #13063313C23semidirect
307. #13063311C23semidirect
308. #13063311C23semidirect
313. #13063310C23semidirect
314. #13063310C23semidirect
315. #13063310C23semidirect
316. #13063310C23semidirect
317. #13063310C23semidirect
318. #13063310C23semidirect
319. #13063310C23semidirect
320. #13063310C23semidirect
321. #13063310C23semidirect
322. #13063310C23semidirect
323. #13063310C23semidirect
324. #13063310C23semidirect
325. #13063309C23semidirect
328. #13063307C23semidirect
329. #13063307C23semidirect
330. #13063307C23semidirect
331. #13063305C23semidirect
332. #13063305C23semidirect
333. #13063303C23semidirect
334. #13063303C23semidirect
335. #13063303C23semidirect
336. #13063303C23semidirect
337. #13063303C23semidirect
338. #13063301C23semidirect
339. #13063301C23semidirect
340. #13063301C23semidirect
341. #13063301C23semidirect
348. #13063300C23semidirect
349. #13063300C23semidirect
350. #13063300C23semidirect
351. #13063300C23semidirect
352. #13063300C23semidirect
353. #13063300C23semidirect
354. #13063300C23semidirect
355. #13063300C23semidirect
356. #13063299C23semidirect
361. #13063298C23semidirect
362. #13063298C23semidirect
363. #13063298C23semidirect
364. #13063298C23semidirect
365. #13063298C23semidirect
366. #13063298C23semidirect
374. #13063295C23semidirect
375. #13063295C23semidirect
376. #13063295C23semidirect
377. #13063295C23semidirect
379. #13063290C23semidirect
380. C4×D172C23semidirect
381. C4×D172C23semidirect
382. C4×D172C23semidirect
383. C4×D172C23semidirect
384. C4×D172C23semidirect
385. #13063287C23semidirect
386. #13063287C23semidirect
387. #13063287C23semidirect
388. #13063287C23semidirect
389. #13063287C23semidirect
390. #13063287C23semidirect
391. #13063287C23semidirect
392. #13063287C23semidirect
393. C4×C22⋊D43C23semidirect
394. C4×C22⋊D43C23semidirect
395. C4×C22⋊D43C23semidirect
396. (C22⋊D43)⋊C4C23semidirect
397. (C22⋊D43)⋊C4C23semidirect
398. (C22⋊D43)⋊C4C23semidirect
399. #13063283C23semidirect
400. #13063283C23semidirect
401. #13063282C23semidirect
402. #13063281C23semidirect
425. C4⋊C4×D43C23semidirect
426. C4⋊C4×D43C23semidirect
427. C4⋊C4×D43C23semidirect
428. C4⋊C4×D43C23semidirect
429. C4⋊C4×D43C23semidirect
470. C2×(C2×D43)⋊C4C23semidirect
474. C22⋊C4×D43C23semidirect
475. C22⋊C4×D43C23semidirect
476. C22⋊C4×D43C23semidirect
484. C42×D43C23semidirect
491. C4⋊Q8×C43C23semidirect
492. C4⋊Q8×C43C23semidirect
493. #126×C43C23semidirect
494. #126×C43C23semidirect
495. #126×C43C23semidirect
496. #126×C43C23semidirect
497. #125×C43C23semidirect
498. #125×C43C23semidirect
502. C22⋊Q8×C43C23semidirect
503. C22⋊Q8×C43C23semidirect
504. C22⋊Q8×C43C23semidirect
505. C22⋊Q8×C43C23semidirect
1005. C2×#563D43semidirect
1037. C2×C43#3560semidirect
1055. #563C2×D43semidirect
1084. C2×C4⋊Q8C2×D43semidirect
1085. C2×C4⋊Q8C2×D43semidirect
1103. C2×#126C2×D43semidirect
1104. C2×#126C2×D43semidirect
1105. C2×#126C2×D43semidirect
1106. C2×#126C2×D43semidirect
1110. C2×#125C2×D43semidirect
1111. C2×#125C2×D43semidirect
1156. C2×C22⋊Q8C2×D43semidirect
1157. C2×C22⋊Q8C2×D43semidirect
1158. C2×C22⋊Q8C2×D43semidirect
1159. C2×C22⋊Q8C2×D43semidirect
1234. C43C2×#3560semidirect
1305. C4⋊Q8C22×D43semidirect
1306. C4⋊Q8C22×D43semidirect
1322. #126C22×D43semidirect
1323. #126C22×D43semidirect
1324. #126C22×D43semidirect
1325. #126C22×D43semidirect
1329. #125C22×D43semidirect
1330. #125C22×D43semidirect
1375. C22⋊Q8C22×D43semidirect
1376. C22⋊Q8C22×D43semidirect
1377. C22⋊Q8C22×D43semidirect
1378. C22⋊Q8C22×D43semidirect
2027. C2#19149138direct (N × H)

Maximal subgroups

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

subgroupindex
#191491382
C2×#145836482
C2×#145836402
C2×#145836022
C2×#145836002
C2×#145835942
C2×#145835762
C2×#145835742
C2×#145835522
C2×#145835512
C2×#145835422
C2×#145835412
C2×#145835402
C2×#145835232
C2×#145835192
C2×#145834972
C2×#145834952
C2×#145834892
C2×#145834882
C2×#145834852
C2×#145834832
C2×#145834792
C2×#145834602
C2×#145834502
C2×#145834322
C2×#126×D432
C2×C43×#5632
C2×#356043