Finite Group Databasebeta

← C2×#19148806 #26003800

Subgroups — C2×#19148806 #26003800

Order 11008.

7302 conjugacy classes of subgroups.

The subgroup lattice has 1964 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148806C2132yesmaximal, direct product factor
2C2×#14583650C211yesmaximal, characteristic, complemented
3C2×#14583646C211yesmaximal, characteristic, complemented
4C2×#14583645C211yesmaximal, characteristic, complemented
5C2×#14583610C211yesmaximal, characteristic, complemented
6C2×#14583605C211yesmaximal, characteristic, complemented
7C2×#14583587C211yesmaximal, characteristic, complemented
8C2×#14583585C211yesmaximal, characteristic, complemented
9C2×#14583576C211yesmaximal, characteristic, complemented
10C2×#14583574C211yesmaximal, characteristic, complemented
11C2×#14583574C211yesmaximal, characteristic, complemented
12C2×#14583574C211yesmaximal, characteristic, complemented
13C2×#14583552C211yesmaximal, characteristic, complemented
14C2×#14583551C211yesmaximal, characteristic, complemented
15C2×#14583542C211yesmaximal, characteristic, complemented
16C2×#14583541C211yesmaximal, characteristic, complemented
17C2×#14583526C211yesmaximal, characteristic, complemented
18C2×#14583524C211yesmaximal, characteristic, complemented
19C2×#14583515C211yesmaximal, characteristic, complemented
20C2×#14583513C211yesmaximal, characteristic, complemented
21C2×#14583497C211yesmaximal, characteristic, complemented
22C2×#14583497C211yesmaximal, characteristic, complemented
23C2×#14583492C211yesmaximal, characteristic, complemented
24C2×#14583490C211yesmaximal, characteristic, complemented
25C2×#14583490C211yesmaximal, characteristic, complemented
26C2×#14583488C211yesmaximal, characteristic, complemented
27C2×#14583474C211yesmaximal, characteristic, complemented
28C2×#14583472C211yesmaximal, characteristic, complemented
29C2×#14583412C211yesmaximal, characteristic, complemented
30C2×#123×D43C211yesmaximal, characteristic, complemented
31C2×C22⋊Q8×D43C211yesmaximal, characteristic, complemented
32C2×C43×#563C211yesmaximal, characteristic, complemented
33C22×#10621902C2211yescharacteristic
34C22×#10621902C2211yescharacteristic, complemented
35C22×#10621898C2211yescharacteristic
36C22×Q8×D43C2211yescharacteristic, complemented
37C22×D4×D43C2211yescharacteristic
38C23×C4×D43C2211yescharacteristic
39#14583650C22116yescomplemented
40#14583646C22116yescomplemented
41#14583645C22116yescomplemented
42#14583610C22116yescomplemented
43#14583605C22116yescomplemented
44#14583587C22116yescomplemented
45#14583585C22116yescomplemented
46#14583576C22116yescomplemented
47#14583574C22116yescomplemented
48#14583574C22116yescomplemented
49#14583574C22116yescomplemented
50#14583552C22116yescomplemented
51#14583551C22116yescomplemented
52#14583542C22116yescomplemented
53#14583541C22116yescomplemented
54#14583526C22116yescomplemented
55#14583524C22116yescomplemented
56#14583515C22116yescomplemented
57#14583513C22116yescomplemented
58#14583497C22116yescomplemented
59#14583497C22116yescomplemented
60#14583492C22116yescomplemented
61#14583490C22116yescomplemented
62#14583490C22116yescomplemented
63#14583488C22116yescomplemented
64#14583474C22116yescomplemented
65#14583472C22116yescomplemented
66C2×#13063324C2211yescharacteristic, complemented
67C2×#13063324C2211yescharacteristic, complemented
68C2×#13063323C2211yescharacteristic, complemented
69C2×#13063323C2211yescharacteristic, complemented
70C2×#13063320C2211yescharacteristic, complemented
71C2×#13063320C2211yescharacteristic, complemented
72C2×#13063320C2211yescharacteristic, complemented
73C2×#13063320C2211yescharacteristic, complemented
74C2×#13063319C2211yescharacteristic, complemented
75C2×#13063318C2211yescharacteristic, complemented
76C2×#13063318C2211yescharacteristic, complemented
77C2×#13063318C2211yescharacteristic, complemented
78C2×#13063317C2211yescharacteristic, complemented
79C2×#13063316C2211yescharacteristic, complemented
80C2×#13063316C2211yescharacteristic, complemented
81C2×#13063316C2211yescharacteristic, complemented
82C2×#13063316C2211yescharacteristic, complemented
83C2×#13063315C2211yescharacteristic, complemented
84C2×#13063315C2211yescharacteristic, complemented
85C2×#13063315C2211yescharacteristic, complemented
86C2×#13063314C2211yescharacteristic, complemented
87C2×#13063313C2211yescharacteristic, complemented
88C2×#13063311C2211yescharacteristic
89C2×#13063311C2211yescharacteristic, complemented
90C2×#13063311C2211yescharacteristic, complemented
91C2×#13063311C2211yescharacteristic, complemented
92C2×#13063311C2211yescharacteristic, complemented
93#14583412C22116yescomplemented
94C2×#13063310C2211yescharacteristic
95C2×#13063310C2211yescharacteristic
96C2×#13063310C2211yescharacteristic
97C2×#13063310C2211yescharacteristic
98C2×#13063310C2211yescharacteristic
99C2×#13063310C2211yescharacteristic, complemented
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×#13063309C2211yescharacteristic
109C2×#13063309C2211yescharacteristic, complemented
110C2×#13063308C2211yescharacteristic
111C2×#13063307C2211yescharacteristic
112C2×#13063307C2211yescharacteristic
113C2×#13063307C2211yescharacteristic
114C2×#13063307C2211yescharacteristic
115C2×#13063307C2211yescharacteristic, complemented
116C2×#13063307C2211yescharacteristic, complemented
117C2×#13063307C2211yescharacteristic, complemented
118C2×#13063307C2211yescharacteristic, complemented
119C2×#13063306C2211yescharacteristic
120#123×D43C22116yescomplemented
121C2×#13063305C2211yescharacteristic
122C2×#13063305C2211yescharacteristic
123C2×#13063305C2211yescharacteristic, complemented
124C2×#13063305C2211yescharacteristic, complemented
125C2×#13063305C2211yescharacteristic, complemented
126C2×#13063305C2211yescharacteristic, complemented
127C2×#13063305C2211yescharacteristic, complemented
128C2×#13063304C2211yescharacteristic, complemented
129C2×#13063304C2211yescharacteristic, complemented
130C2×#13063303C2211yescharacteristic
131C2×#13063303C2211yescharacteristic
132C2×#13063303C2211yescharacteristic
133C2×#13063303C2211yescharacteristic
134C2×#13063303C2211yescharacteristic, complemented
135C2×#13063303C2211yescharacteristic, complemented
136C2×#13063303C2211yescharacteristic, complemented
137C2×#13063303C2211yescharacteristic, complemented
138C2×#13063303C2211yescharacteristic, complemented
139C2×#13063303C2211yescharacteristic, complemented
140C2×#13063303C2211yescharacteristic, complemented
141C2×#13063302C2211yescharacteristic, complemented
142C2×#13063302C2211yescharacteristic, complemented
143C2×#13063302C2211yescharacteristic, complemented
144C2×#13063302C2211yescharacteristic, complemented
145C2×#13063301C2211yescharacteristic
146C2×#13063301C2211yescharacteristic
147C2×#13063301C2211yescharacteristic
148C2×#13063301C2211yescharacteristic, complemented
149C2×#13063301C2211yescharacteristic, complemented
150C2×#13063301C2211yescharacteristic, complemented
151C22⋊Q8×D43C22116yescomplemented
152C2×#13063300C2211yescharacteristic
153C2×#13063300C2211yescharacteristic
154C2×#13063300C2211yescharacteristic, complemented
155C2×#13063299C2211yescharacteristic, complemented
156C2×#13063298C2211yescharacteristic
157C2×#13063298C2211yescharacteristic
158C2×#13063298C2211yescharacteristic
159C2×#13063298C2211yescharacteristic, complemented
160C2×#13063297C2211yescharacteristic
161C2×#13063296C2211yescharacteristic
162C2×#13063295C2211yescharacteristic
163C2×#13063295C2211yescharacteristic
164C2×#13063295C2211yescharacteristic
165C2×#13063295C2211yescharacteristic
166C2×C4×Dic86C2211yescharacteristic, complemented
167C2×C4×Dic86C2211yescharacteristic, complemented
168C2×C4×D172C2211yescharacteristic
169C2×C4×D172C2211yescharacteristic
170C2×C4×D172C2211yescharacteristic
171C2×C4×D172C2211yescharacteristic, complemented
172C2×C4×D172C2211yescharacteristic, complemented
173C2×#13063287C2211yescharacteristic
174C2×#13063287C2211yescharacteristic
175C2×#13063287C2211yescharacteristic
176C2×#13063287C2211yescharacteristic
177C2×#13063287C2211yescharacteristic, complemented
178C2×C4×C22⋊D43C2211yescharacteristic, complemented
179C2×(C22⋊D43)⋊C4C2211yescharacteristic
180C2×(C22⋊D43)⋊C4C2211yescharacteristic, complemented
181C2×(C22⋊D43)⋊C4C2211yescharacteristic, complemented
182C2×#13063283C2211yescharacteristic
183C2×#13063283C2211yescharacteristic, complemented
184C2×#13063283C2211yescharacteristic, complemented
185C2×#13063283C2211yescharacteristic, complemented
186C2×#13063282C2211yescharacteristic
187C2×#13063282C2211yescharacteristic, complemented
188C2×#13063281C2211yescharacteristic, complemented
189C2×C4⋊C4×D43C2211yescharacteristic
190C2×C4⋊C4×D43C2211yescharacteristic
191C2×C4⋊C4×D43C2211yescharacteristic, complemented
192C2×C4⋊C4×D43C2211yescharacteristic, complemented
193C2×C4⋊C4×D43C2211yescharacteristic, complemented
194C2×C4⋊C4×D43C2211yescharacteristic, complemented
195C2×C4⋊C4×D43C2211yescharacteristic, complemented
196C22×(C2×D43)⋊C4C2211yescharacteristic
197C2×C22⋊C4×D43C2211yescharacteristic
198C2×C22⋊C4×D43C2211yescharacteristic
199C2×C22⋊C4×D43C2211yescharacteristic
200C2×C22⋊C4×D43C2211yescharacteristic
201C2×C22⋊C4×D43C2211yescharacteristic
202C2×C22⋊C4×D43C2211yescharacteristic
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
221C2×#10621902—44no—
222C2×#10621902—44no—
223C2×#10621902C2318yes—
224C2×#10621902C2318yescomplemented
225C2×#10621898—44no—
226C2×#10621898C2318yes—
227C22×Dic86C2311yescharacteristic
228C22×Dic86C2311yescharacteristic
229C22×Dic86C2311yescharacteristic
230C22×Dic86C2311yescharacteristic
231C22×Dic86C2311yescharacteristic
232C22×Dic86C2311yescharacteristic
233C2×Q8×D43—44no—
234C2×Q8×D43C2318yescomplemented
235C22×D172C2311yescharacteristic
236C22×D172C2311yescharacteristic
237C22×D172C2311yescharacteristic
238C22×D172C2311yescharacteristic
239C22×D172C2311yescharacteristic
240C22×D172C2311yescharacteristic
241C22×D172C2311yescharacteristic
242C22×D172C2311yescharacteristic
243C22×C22⋊D43C2311yescharacteristic
244C22×C22⋊D43C2311yescharacteristic
245C22×C22⋊D43C2311yescharacteristic
246C22×C22⋊D43C2311yescharacteristic
247C22×C22⋊D43C2311yescharacteristic
248C22×C22⋊D43C2311yescharacteristic
249C2×D4×D43—44no—
250C2×D4×D43C2318yes—
251C23×Dic43C2311yescharacteristic
252C23×Dic43C2311yescharacteristic
253C22×C4×D43—44no—
254C22×C4×D43C2311yescharacteristic
255C22×C4×D43C2311yescharacteristic
256C22×C4×D43C2311yescharacteristic
257C22×C4×D43C2311yescharacteristic
258C22×C4×D43C2311yescharacteristic
259C22×C4×D43C2311yescharacteristic
260C22×C4×D43C2311yescharacteristic
261C22×C4×D43C2311yescharacteristic
262C22×C4×D43C2311yescharacteristic
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×D43C2318yes—
274#13063324C2318yescomplemented
275#13063324C2318yescomplemented
276#13063323C2318yescomplemented
277#13063323C2318yescomplemented
278#13063320C2318yescomplemented
279#13063320C2318yescomplemented
280#13063320C2318yescomplemented
281#13063320C2318yescomplemented
282#13063319C2318yescomplemented
283#13063318C2318yescomplemented
284#13063318C2318yescomplemented
285#13063318C2318yescomplemented
286#13063317C2318yescomplemented
287#13063316C2318yescomplemented
288#13063316C2318yescomplemented
289#13063316C2318yescomplemented
290#13063316C2318yescomplemented
291#13063315C2318yescomplemented
292#13063315C2318yescomplemented
293#13063315C2318yescomplemented
294#13063314C2318yescomplemented
295#13063313C2318yescomplemented
296#13063311C2318yes—
297#13063311C2318yescomplemented
298#13063311C2318yescomplemented
299#13063311C2318yescomplemented
300#13063311C2318yescomplemented
301#13063310C2318yes—
302#13063310C2318yes—
303#13063310C2318yes—
304#13063310C2318yes—
305#13063310C2318yes—
306#13063310C2318yescomplemented
307#13063310C2318yescomplemented
308#13063310C2318yescomplemented
309#13063310C2318yescomplemented
310#13063310C2318yescomplemented
311#13063310C2318yescomplemented
312#13063310C2318yescomplemented
313#13063310C2318yescomplemented
314#13063310C2318yescomplemented
315#13063309C2318yes—
316#13063309C2318yescomplemented
317#13063308C2318yes—
318#13063307C2318yes—
319#13063307C2318yes—
320#13063307C2318yes—
321#13063307C2318yes—
322#13063307C2318yescomplemented
323#13063307C2318yescomplemented
324#13063307C2318yescomplemented
325#13063307C2318yescomplemented
326#13063306C2318yes—
327#13063305C2318yes—
328#13063305C2318yes—
329#13063305C2318yescomplemented
330#13063305C2318yescomplemented
331#13063305C2318yescomplemented
332#13063305C2318yescomplemented
333#13063305C2318yescomplemented
334#13063304C2318yescomplemented
335#13063304C2318yescomplemented
336#13063303C2318yes—
337#13063303C2318yes—
338#13063303C2318yes—
339#13063303C2318yes—
340#13063303C2318yescomplemented
341#13063303C2318yescomplemented
342#13063303C2318yescomplemented
343#13063303C2318yescomplemented
344#13063303C2318yescomplemented
345#13063303C2318yescomplemented
346#13063303C2318yescomplemented
347#13063302C2318yescomplemented
348#13063302C2318yescomplemented
349#13063302C2318yescomplemented
350#13063302C2318yescomplemented
351#13063301C2318yes—
352#13063301C2318yes—
353#13063301C2318yes—
354#13063301C2318yescomplemented
355#13063301C2318yescomplemented
356#13063301C2318yescomplemented
357#13063300C2318yes—
358#13063300C2318yes—
359#13063300C2318yescomplemented
360#13063299C2318yescomplemented
361#13063298C2318yes—
362#13063298C2318yes—
363#13063298C2318yes—
364#13063298C2318yescomplemented
365#13063297C2318yes—
366#13063296C2318yes—
367#13063295C2318yes—
368#13063295C2318yes—
369#13063295C2318yes—
370#13063295C2318yes—
371C4×Dic86C2318yescomplemented
372C4×Dic86C2318yescomplemented
373C4×D172C2318yes—
374C4×D172C2318yes—
375C4×D172C2318yes—
376C4×D172C2318yescomplemented
377C4×D172C2318yescomplemented
378#13063287C2318yes—
379#13063287C2318yes—
380#13063287C2318yes—
381#13063287C2318yes—
382#13063287C2318yescomplemented
383C4×C22⋊D43C2318yescomplemented
384(C22⋊D43)⋊C4C2318yes—
385(C22⋊D43)⋊C4C2318yescomplemented
386(C22⋊D43)⋊C4C2318yescomplemented
387#13063283C2318yes—
388#13063283C2318yescomplemented
389#13063283C2318yescomplemented
390#13063283C2318yescomplemented
391#13063282C2318yes—
392#13063282C2318yescomplemented
393#13063281C2318yescomplemented
394C2×C4⋊Dic43C2311yescharacteristic
395C2×C4⋊Dic43C2311yescharacteristic
396C2×C4⋊Dic43C2311yescharacteristic
397C2×C4⋊Dic43C2311yescharacteristic
398C2×C4⋊Dic43C2311yescharacteristic
399C2×C4⋊Dic43C2311yescharacteristic
400C2×C4⋊Dic43C2311yescharacteristic
401C2×C4⋊Dic43C2311yescharacteristic
402C2×C4⋊Dic43C2311yescharacteristic
403C2×C4⋊Dic43C2311yescharacteristic
404C2×C4⋊Dic43C2311yescharacteristic
405C2×C4⋊Dic43C2311yescharacteristic
406C2×Dic43⋊C4C2311yescharacteristic
407C2×Dic43⋊C4C2311yescharacteristic
408C2×Dic43⋊C4C2311yescharacteristic
409C2×Dic43⋊C4C2311yescharacteristic
410C2×Dic43⋊C4C2311yescharacteristic
411C2×Dic43⋊C4C2311yescharacteristic
412C2×Dic43⋊C4C2311yescharacteristic
413C2×Dic43⋊C4C2311yescharacteristic
414C2×Dic43⋊C4C2311yescharacteristic
415C2×Dic43⋊C4C2311yescharacteristic
416C2×Dic43⋊C4C2311yescharacteristic
417C2×Dic43⋊C4C2311yescharacteristic
418C2×Dic43⋊C4C2311yescharacteristic
419C2×Dic43⋊C4C2311yescharacteristic
420C2×Dic43⋊C4C2311yescharacteristic
421C2×Dic43⋊C4C2311yescharacteristic
422C2×Dic43⋊C4C2311yescharacteristic
423C2×Dic43⋊C4C2311yescharacteristic
424C2×Dic43⋊C4C2311yescharacteristic
425C2×Dic43⋊C4C2311yescharacteristic
426C2×Dic43⋊C4C2311yescharacteristic
427C2×Dic43⋊C4C2311yescharacteristic
428C4⋊C4×D43C2318yes—
429C4⋊C4×D43C2318yes—
430C4⋊C4×D43C2318yescomplemented
431C4⋊C4×D43C2318yescomplemented
432C4⋊C4×D43C2318yescomplemented
433C4⋊C4×D43C2318yescomplemented
434C4⋊C4×D43C2318yescomplemented
435C2×C22⋊Dic43C2311yescharacteristic
436C2×C22⋊Dic43C2311yescharacteristic
437C2×C22⋊Dic43C2311yescharacteristic
438C2×C22⋊Dic43C2311yescharacteristic
439C2×C22⋊Dic43C2311yescharacteristic
440C2×C22⋊Dic43C2311yescharacteristic
441C2×(C2×D43)⋊C4C2318yes—
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)⋊C4C2311yescharacteristic
471C2×(C2×D43)⋊C4C2311yescharacteristic
472C22⋊C4×D43C2318yes—
473C22⋊C4×D43C2318yes—
474C22⋊C4×D43C2318yes—
475C22⋊C4×D43C2318yes—
476C22⋊C4×D43C2318yes—
477C22⋊C4×D43C2318yes—
478C2×C4×Dic43C2311yescharacteristic
479C2×C4×Dic43C2311yescharacteristic
480C2×C4×Dic43C2311yescharacteristic
481C2×C4×Dic43C2311yescharacteristic
482C2×C4×Dic43C2311yescharacteristic
483C2×C4×Dic43C2311yescharacteristic
484C2×C4×Dic43C2311yescharacteristic
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—24no—
539C23×D43—24no—
540C23×D43—42no—
541C23×D43—42no—
542C23×D43—42no—
543C23×D43C2411yescharacteristic
544C23×D43C2411yescharacteristic
545C23×D43C2411yescharacteristic
546C23×D43C2414yes—
547C23×D43C2411yescharacteristic
548C23×D43C2411yescharacteristic
549C23×D43C2414yes—
550C2×Q8×C43—42no—
551C2×Q8×C43—42no—
552C2×Q8×C43—42no—
553C2×Q8×C43C2414yes—
554C2×Q8×C43C2414yes—
555C2×Q8×C43C2414yes—
556C2×D4×C43—42no—
557C2×D4×C43C2414yes—
558C22×C4×C43—42no—
559C22×C4×C43—42no—
560C22×C4×C43C2411yescharacteristic
561C22×C4×C43C2411yescharacteristic
562C22×C4×C43C2411yescharacteristic
563C22×C4×C43C2411yescharacteristic
564C22×C4×C43C2411yescharacteristic
565C22×C4×C43C2411yescharacteristic
566C22×C4×C43C2411yescharacteristic
567C22×C4×C43C2411yescharacteristic
568C22×C4×C43C2411yescharacteristic
569C22×C4×C43C2411yescharacteristic
570C22×C4×C43C2411yescharacteristic
571C22×C4×C43C2411yescharacteristic
572C22×C4×C43C2411yescharacteristic
573C22×C4×C43C2414yes—
574C22×C4×C43C2414yes—
575C2×C22⋊D43—24no—
576C2×C22⋊D43—42no—
577C2×C22⋊D43—42no—
578C2×C22⋊D43—42no—
579C2×C22⋊D43—42no—
580C2×C22⋊D43—42no—
581C2×C22⋊D43C2414yes—
582C2×C22⋊D43C2414yes—
583C2×C22⋊D43C2414yes—
584C2×C22⋊D43C2414yes—
585C2×C22⋊D43C2414yes—
586C2×C22⋊D43C2414yes—
587C22×Dic43—42no—
588C22×Dic43—42no—
589C22×Dic43C2411yescharacteristic
590C22×Dic43C2411yescharacteristic
591C22×Dic43C2411yescharacteristic
592C22×Dic43C2411yescharacteristic
593C22×Dic43C2411yescharacteristic
594C22×Dic43C2411yescharacteristic
595C22×Dic43C2411yescharacteristic
596C22×Dic43C2411yescharacteristic
597C22×Dic43C2411yescharacteristic
598C22×Dic43C2411yescharacteristic
599C22×Dic43C2411yescharacteristic
600C22×Dic43C2414yes—
601C22×Dic43C2414yes—
602#10621902—416no—
603#10621902—416no—
604Q8×D43—416no—
605D4×D43—416no—
606#10621898—416no—
607C2×D172—24no—
608C2×D172—24no—
609C2×D172—24no—
610C2×D172—24no—
611C2×D172—24no—
612C2×D172—42no—
613C2×D172—42no—
614C2×D172—42no—
615C2×D172C2414yes—
616C2×D172C2414yes—
617C2×D172C2414yes—
618C2×D172C2414yes—
619C2×D172C2414yes—
620C2×D172C2414yes—
621C2×D172C2414yes—
622C2×D172C2414yes—
623C2×C4×D43—24no—
624C2×C4×D43—24no—
625C2×C4×D43—24no—
626C2×C4×D43—24no—
627C2×C4×D43—24no—
628C2×C4×D43—416no—
629C2×C4×D43—42no—
630C2×C4×D43—42no—
631C2×C4×D43—42no—
632C2×C4×D43—42no—
633C2×C4×D43—42no—
634C2×C4×D43—42no—
635C2×C4×D43—42no—
636C2×C4×D43—42no—
637C2×C4×D43—42no—
638C2×C4×D43—42no—
639C2×C4×D43—42no—
640C2×C4×D43—42no—
641C2×C4×D43—42no—
642C2×C4×D43—42no—
643C2×C4×D43C2414yes—
644C2×C4×D43C2414yes—
645C2×C4×D43C2414yes—
646C2×C4×D43C2414yes—
647C2×C4×D43C2414yes—
648C2×C4×D43C2414yes—
649C2×C4×D43C2414yes—
650C2×C4×D43C2414yes—
651C2×C4×D43C2414yes—
652C2×C4×D43C2414yes—
653C2×C4×D43C2414yes—
654C2×C4×D43C2414yes—
655C2×C4×D43C2414yes—
656C2×C4×D43C2414yes—
657C2×C4×D43C2414yes—
658C2×C4×D43C2414yes—
659C2×C4×D43C2414yes—
660C2×C4×D43C2414yes—
661C2×C4×D43C2414yes—
662C2×Dic86—42no—
663C2×Dic86—42no—
664C2×Dic86—42no—
665C2×Dic86—42no—
666C2×Dic86—42no—
667C2×Dic86—42no—
668C2×Dic86C2414yes—
669C2×Dic86C2414yes—
670C2×Dic86C2414yes—
671C2×Dic86C2414yes—
672C2×Dic86C2414yes—
673C2×Dic86C2414yes—
674C4⋊C4×C43C2414yes—
675C4⋊C4×C43C2414yes—
676C4⋊C4×C43C2414yes—
677C4⋊C4×C43C2414yes—
678C4⋊C4×C43C2414yes—
679C4⋊C4×C43C2414yes—
680C4⋊C4×C43C2414yes—
681C4⋊C4×C43C2414yes—
682C4⋊C4×C43C2414yes—
683C4⋊C4×C43C2414yes—
684C4⋊C4×C43C2414yes—
685C4⋊C4×C43C2414yes—
686C4⋊C4×C43C2414yes—
687C4⋊C4×C43C2414yes—
688C4⋊C4×C43C2414yes—
689C4⋊C4×C43C2414yes—
690C22⋊C4×C43C2414yes—
691C22⋊C4×C43C2414yes—
692C22⋊C4×C43C2414yes—
693C22⋊C4×C43C2414yes—
694C22⋊C4×C43C2414yes—
695C22⋊C4×C43C2414yes—
696C22⋊C4×C43C2414yes—
697C22⋊C4×C43C2414yes—
698C22⋊C4×C43C2414yes—
699C22⋊C4×C43C2414yes—
700C42×C43C2414yes—
701C42×C43C2414yes—
702C42×C43C2414yes—
703C22⋊Dic43C2414yes—
704C22⋊Dic43C2414yes—
705C22⋊Dic43C2414yes—
706C22⋊Dic43C2414yes—
707C22⋊Dic43C2414yes—
708C22⋊Dic43C2414yes—
709(C2×D43)⋊C4C2414yes—
710(C2×D43)⋊C4C2414yes—
711(C2×D43)⋊C4C2414yes—
712(C2×D43)⋊C4C2414yes—
713(C2×D43)⋊C4C2414yes—
714(C2×D43)⋊C4C2414yes—
715(C2×D43)⋊C4C2414yes—
716(C2×D43)⋊C4C2414yes—
717(C2×D43)⋊C4C2414yes—
718(C2×D43)⋊C4C2414yes—
719(C2×D43)⋊C4C2414yes—
720(C2×D43)⋊C4C2414yes—
721(C2×D43)⋊C4C2414yes—
722(C2×D43)⋊C4C2414yes—
723(C2×D43)⋊C4C2414yes—
724(C2×D43)⋊C4C2414yes—
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—
739C4⋊Dic43C2414yes—
740C4⋊Dic43C2414yes—
741C4⋊Dic43C2414yes—
742C4⋊Dic43C2414yes—
743C4⋊Dic43C2414yes—
744C4⋊Dic43C2414yes—
745C4⋊Dic43C2414yes—
746C4⋊Dic43C2414yes—
747C4⋊Dic43C2414yes—
748C4⋊Dic43C2414yes—
749C4⋊Dic43C2414yes—
750C4⋊Dic43C2414yes—
751Dic43⋊C4C2414yes—
752Dic43⋊C4C2414yes—
753Dic43⋊C4C2414yes—
754Dic43⋊C4C2414yes—
755Dic43⋊C4C2414yes—
756Dic43⋊C4C2414yes—
757Dic43⋊C4C2414yes—
758Dic43⋊C4C2414yes—
759Dic43⋊C4C2414yes—
760Dic43⋊C4C2414yes—
761Dic43⋊C4C2414yes—
762Dic43⋊C4C2414yes—
763Dic43⋊C4C2414yes—
764Dic43⋊C4C2414yes—
765Dic43⋊C4C2414yes—
766Dic43⋊C4C2414yes—
767Dic43⋊C4C2414yes—
768Dic43⋊C4C2414yes—
769Dic43⋊C4C2414yes—
770Dic43⋊C4C2414yes—
771Dic43⋊C4C2414yes—
772Dic43⋊C4C2414yes—
773C4×Dic43C2414yes—
774C4×Dic43C2414yes—
775C4×Dic43C2414yes—
776C4×Dic43C2414yes—
777C4×Dic43C2414yes—
778C4×Dic43C2414yes—
779C4×Dic43C2414yes—
780C23×C43—22no—
781C23×C43—22no—
782C23×C43—22no—
783C23×C43—22no—
784C23×C43—22no—
785C23×C43—22no—
786C23×C43C2512yes—
787C23×C43C2512yes—
788C23×C43C2511yescharacteristic
789C22×D43—22no—
790C22×D43—22no—
791C22×D43—22no—
792C22×D43—22no—
793C22×D43—22no—
794C22×D43—22no—
795C22×D43—22no—
796C22×D43—22no—
797C22×D43—22no—
798C22×D43—22no—
799C22×D43—22no—
800C22×D43—22no—
801C22×D43—22no—
802C22×D43—28no—
803C22×D43—28no—
804C22×D43—28no—
805C22×D43—44no—
806C22×D43—416no—
807C22×D43—44no—
808C22×D43—44no—
809C22×D43—88no—
810C22×D43H(5,𝔽2)14yes—
811C22×D432−1+414yes—
812C22×D43C2512yes—
813C22×D43C2512yes—
814C22×D43C2512yes—
815C22×D43C2512yes—
816C22×D43C2512yes—
817Q8×C43—44no—
818Q8×C43—44no—
819Q8×C43—44no—
820D4×C43—44no—
821C2×C4×C43—22no—
822C2×C4×C43—22no—
823C2×C4×C43—22no—
824C2×C4×C43—22no—
825C2×C4×C43—22no—
826C2×C4×C43—22no—
827C2×C4×C43—22no—
828C2×C4×C43—22no—
829C2×C4×C43—22no—
830C2×C4×C43—22no—
831C2×C4×C43—22no—
832C2×C4×C43—22no—
833C2×C4×C43—22no—
834C2×C4×C43—44no—
835C2×C4×C43—44no—
836C2×C4×C43C2512yes—
837C2×C4×C43C2512yes—
838C2×C4×C43C2512yes—
839C2×C4×C43C2512yes—
840C2×C4×C43C2512yes—
841C2×C4×C43C2512yes—
842C2×C4×C43C2512yes—
843C2×C4×C43C2512yes—
844C2×C4×C43C2512yes—
845C2×C4×C43C2512yes—
846C2×C4×C43C2512yes—
847C2×C4×C43C2512yes—
848C2×C4×C43C2512yes—
849C22⋊D43—28no—
850C22⋊D43—44no—
851C22⋊D43—44no—
852C22⋊D43—44no—
853C22⋊D43—44no—
854C22⋊D43—44no—
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—22no—
864C2×Dic43—22no—
865C2×Dic43—22no—
866C2×Dic43—44no—
867C2×Dic43—44no—
868C2×Dic43C2512yes—
869C2×Dic43C2512yes—
870C2×Dic43C2512yes—
871C2×Dic43C2512yes—
872C2×Dic43C2512yes—
873C2×Dic43C2512yes—
874C2×Dic43C2512yes—
875C2×Dic43C2512yes—
876C2×Dic43C2512yes—
877C2×Dic43C2512yes—
878C2×Dic43C2512yes—
879D172—28no—
880D172—28no—
881D172—28no—
882D172—28no—
883D172—28no—
884D172—44no—
885D172—44no—
886D172—44no—
887C4×D43—28no—
888C4×D43—28no—
889C4×D43—28no—
890C4×D43—28no—
891C4×D43—28no—
892C4×D43—44no—
893C4×D43—44no—
894C4×D43—44no—
895C4×D43—44no—
896C4×D43—44no—
897C4×D43—44no—
898C4×D43—44no—
899C4×D43—44no—
900C4×D43—44no—
901C4×D43—44no—
902C4×D43—44no—
903C4×D43—44no—
904C4×D43—44no—
905C4×D43—44no—
906Dic86—44no—
907Dic86—44no—
908Dic86—44no—
909Dic86—44no—
910Dic86—44no—
911Dic86—44no—
912C2×#3535—431nomaximal, Sylow
913C22×C43—22no—
914C22×C43—22no—
915C22×C43—22no—
916C22×C43—22no—
917C22×C43—22no—
918C22×C43—22no—
919C22×C43—44no—
920C22×C43—44no—
921C22×C43C2×H(5,𝔽2)12yes—
922C22×C43C2×2−1+412yes—
923C22×C43#58512yes—
924C22×C43C2611yescharacteristic
925C2×D43—22no—
926C2×D43—22no—
927C2×D43—22no—
928C2×D43—22no—
929C2×D43—28no—
930C2×D43—28no—
931C2×D43—22no—
932C2×D43—22no—
933C2×D43—22no—
934C2×D43—22no—
935C2×D43—22no—
936C2×D43—22no—
937C2×D43—22no—
938C2×D43—22no—
939C2×D43—22no—
940C2×D43—416no—
941C2×D43—44no—
942C2×D43—44no—
943C2×D43—44no—
944C2×D43—88no—
945C2×D43C2×H(5,𝔽2)14yes—
946C2×D43C2×2−1+414yes—
947C4×C43—22no—
948C4×C43—22no—
949C4×C43—22no—
950C4×C43—22no—
951C4×C43—22no—
952C4×C43—22no—
953C4×C43—22no—
954C4×C43—22no—
955C4×C43—22no—
956C4×C43—22no—
957C4×C43—22no—
958C4×C43—22no—
959C4×C43—22no—
960Dic43—22no—
961Dic43—22no—
962Dic43—22no—
963Dic43—22no—
964Dic43—22no—
965Dic43—22no—
966Dic43—22no—
967Dic43—22no—
968Dic43—22no—
969Dic43—22no—
970Dic43—22no—
971#3535—4332no—
972C2×#563—431no—
973C2×#563D4311yescharacteristic, complemented
974C2×#562—431no—
975C2×#562—431no—
976C2×#554—431no—
977C2×#554—431no—
978C2×#552—431no—
979C2×#552—431no—
980C2×#551—431no—
981C2×#551—431no—
982C2×#551—431no—
983C2×#551—431no—
984C2×#547—431no—
985C2×#547—431no—
986C2×#546—431no—
987C2×#546—431no—
988C2×#544—431no—
989C2×#543—431no—
990C2×#542—431no—
991C2×#542—431no—
992C2×#539—431no—
993C2×#539—431no—
994C2×#539—431no—
995C2×#539—431no—
996C2×#539—431no—
997C2×#538—431no—
998C2×#536—431no—
999C2×#536—431no—
1000C2×#525—431no—
1001C22×#123—431no—
1002C22×C22⋊Q8—431no—
1003C2×C43—42no—
1004C2×C43—42no—
1005C2×C43#353514yescomplemented
1006C2×C43C22×H(5,𝔽2)11yescharacteristic
1007C2×C43C22×2−1+411yescharacteristic
1008C2×C43C2×#58511yescharacteristic
1009D43—24no—
1010D43—24no—
1011D43—42no—
1012D43—42no—
1013D43—42no—
1014C22×#41—431no—
1015C22×#41—431no—
1016C22×#41—431no—
1017C23×Q8—431no—
1018C23×D4—431no—
1019C24×C4—431no—
1020#563—4316no—
1021#563C2×D43116yescomplemented
1022#562—4316no—
1023#562—4316no—
1024#554—4316no—
1025#554—4316no—
1026#552—4316no—
1027#552—4316no—
1028#551—4316no—
1029#551—4316no—
1030#551—4316no—
1031#551—4316no—
1032#547—4316no—
1033#547—4316no—
1034#546—4316no—
1035#546—4316no—
1036#544—4316no—
1037#543—4316no—
1038#542—4316no—
1039#542—4316no—
1040#539—4316no—
1041#539—4316no—
1042#539—4316no—
1043#539—4316no—
1044#539—4316no—
1045#538—4316no—
1046#536—4316no—
1047#536—4316no—
1048C2×C4⋊Q8—431no—
1049C2×C4⋊Q8—431no—
1050C2×C4⋊Q8—431no—
1051C2×C4⋊Q8—431no—
1052C2×C4⋊Q8C2×D4311yescharacteristic, complemented
1053C2×C4⋊Q8C2×D4311yescharacteristic, complemented
1054C2×#126—431no—
1055C2×#126—431no—
1056C2×#126—431no—
1057C2×#126—431no—
1058C2×#126—431no—
1059C2×#126—431no—
1060C2×#126—431no—
1061C2×#126—431no—
1062C2×#126C2×D4311yescharacteristic, complemented
1063C2×#126C2×D4311yescharacteristic, complemented
1064C2×#126C2×D4311yescharacteristic, complemented
1065C2×#126C2×D4311yescharacteristic, complemented
1066C2×#125—431no—
1067C2×#125—431no—
1068C2×#125—431no—
1069C2×#125—431no—
1070C2×#125—431no—
1071C2×#125—431no—
1072C2×#125—431no—
1073C2×#125—431no—
1074C2×#125C2×D4311yescharacteristic, complemented
1075C2×#125C2×D4311yescharacteristic, complemented
1076C2×#124—431no—
1077C2×#124—431no—
1078C2×#124—431no—
1079C2×#124—431no—
1080C2×#124—431no—
1081C2×#124—431no—
1082C2×#124—431no—
1083C2×#124C2×D4311yescharacteristic
1084#525—4316no—
1085C2×#123—431no—
1086C2×#123—431no—
1087C2×#123—4316no—
1088C2×#123—431no—
1089C2×#123—431no—
1090C2×#123—431no—
1091C2×#123—431no—
1092C2×#123—431no—
1093C2×#123—431no—
1094C2×#123—431no—
1095C2×#123—431no—
1096C2×#123—431no—
1097C2×#123—431no—
1098C2×#123—431no—
1099C2×#123—431no—
1100C2×#123—431no—
1101C2×#123—431no—
1102C2×#123—431no—
1103C2×#123—431no—
1104C2×#123—431no—
1105C2×#123—431no—
1106C2×#123—431no—
1107C2×#123—431no—
1108C2×#123—431no—
1109C2×#123—431no—
1110C2×#123—431no—
1111C2×#123—431no—
1112C2×#123C2×D4311yescharacteristic
1113C2×#123C2×D4311yescharacteristic
1114C2×C22⋊Q8—431no—
1115C2×C22⋊Q8—431no—
1116C2×C22⋊Q8—431no—
1117C2×C22⋊Q8—431no—
1118C2×C22⋊Q8—431no—
1119C2×C22⋊Q8—431no—
1120C2×C22⋊Q8—431no—
1121C2×C22⋊Q8—431no—
1122C2×C22⋊Q8—4316no—
1123C2×C22⋊Q8—431no—
1124C2×C22⋊Q8—431no—
1125C2×C22⋊Q8—431no—
1126C2×C22⋊Q8—431no—
1127C2×C22⋊Q8—431no—
1128C2×C22⋊Q8—431no—
1129C2×C22⋊Q8—431no—
1130C2×C22⋊Q8—431no—
1131C2×C22⋊Q8—431no—
1132C2×C22⋊Q8—431no—
1133C2×C22⋊Q8—431no—
1134C2×C22⋊Q8—431no—
1135C2×C22⋊Q8—431no—
1136C2×C22⋊Q8—431no—
1137C2×C22⋊Q8—431no—
1138C2×C22⋊Q8—431no—
1139C2×C22⋊Q8—431no—
1140C2×C22⋊Q8—431no—
1141C2×C22⋊Q8—431no—
1142C2×C22⋊Q8—431no—
1143C2×C22⋊Q8—431no—
1144C2×C22⋊Q8—431no—
1145C2×C22⋊Q8C2×D4311yescharacteristic, complemented
1146C2×C22⋊Q8C2×D4311yescharacteristic, complemented
1147C2×C22⋊Q8C2×D4311yescharacteristic, complemented
1148C2×C22⋊Q8C2×D4311yescharacteristic, complemented
1149C2×#121—431no—
1150C2×#121—431no—
1151C2×#121—431no—
1152C2×#121—431no—
1153C2×#121—431no—
1154C2×#121—431no—
1155C2×#121—431no—
1156C2×#121—431no—
1157C2×#121—431no—
1158C2×#121—431no—
1159C2×#120—431no—
1160C2×#120—431no—
1161C2×#120—431no—
1162C2×#120—431no—
1163C2×C4×Q8—431no—
1164C2×C4×Q8—431no—
1165C2×C4×D4—431no—
1166C2×C4×D4—431no—
1167C2×C4×D4—431no—
1168C2×C4×D4—431no—
1169C2×C4×D4—431no—
1170C2×C4×D4—431no—
1171C2×C4×D4—431no—
1172C2×C4×D4—431no—
1173C2×C4×D4—431no—
1174C2×C4×D4—431no—
1175C2×C4×D4—431no—
1176C2×C4×D4—431no—
1177C2×C4×D4—431no—
1178C2×C4×D4—431no—
1179C2×#117—431no—
1180C2×#117—431no—
1181C2×#117—431no—
1182C2×#117—431no—
1183C2×#117—431no—
1184C2×#117—431no—
1185C2×#117—431no—
1186C22×C4⋊C4—431no—
1187C22×C4⋊C4—431no—
1188C22×C4⋊C4—431no—
1189C22×C4⋊C4—431no—
1190C22×C4⋊C4—431no—
1191C22×C4⋊C4—431no—
1192C22×C4⋊C4—431no—
1193C22×C22⋊C4—431no—
1194C22×C22⋊C4—431no—
1195C22×C22⋊C4—431no—
1196C22×C22⋊C4—431no—
1197C22×C22⋊C4—431no—
1198C22×C22⋊C4—431no—
1199C22×C22⋊C4—431no—
1200C43C2×#353511yescharacteristic, complemented, Sylow
1201C25—431no—
1202C25—431no—
1203C2×#41—438no—
1204C2×#41—438no—
1205C2×#41—438no—
1206C2×#41—1724no—
1207C2×#41—1724no—
1208C2×#41—1724no—
1209C22×Q8—438no—
1210C22×Q8—431no—
1211C22×Q8—431no—
1212C22×Q8—431no—
1213C22×Q8—431no—
1214C22×Q8—431no—
1215C22×Q8—431no—
1216C22×Q8—1724no—
1217C22×Q8C22×D4311yescharacteristic
1218C22×Q8C22×D4311yescharacteristic
1219C22×Q8C22×D4311yescharacteristic
1220C22×D4—431no—
1221C22×D4—431no—
1222C22×D4—431no—
1223C22×D4—431no—
1224C22×D4—431no—
1225C22×D4—431no—
1226C22×D4—438no—
1227C22×D4—431no—
1228C22×D4—431no—
1229C22×D4—431no—
1230C22×D4—431no—
1231C22×D4—431no—
1232C22×D4—431no—
1233C22×D4—431no—
1234C22×D4—431no—
1235C22×D4—1724no—
1236C22×D4C22×D4311yescharacteristic
1237C23×C4—431no—
1238C23×C4—431no—
1239C23×C4—431no—
1240C23×C4—431no—
1241C23×C4—431no—
1242C23×C4—431no—
1243C23×C4—431no—
1244C23×C4—431no—
1245C23×C4—431no—
1246C23×C4—431no—
1247C23×C4—431no—
1248C23×C4—431no—
1249C23×C4—431no—
1250C23×C4—431no—
1251C23×C4—431no—
1252C23×C4—431no—
1253C23×C4—431no—
1254C23×C4—431no—
1255C23×C4—431no—
1256C23×C4—431no—
1257C23×C4—431no—
1258C23×C4—438no—
1259C23×C4—1724no—
1260C23×C4C22×D4311yescharacteristic
1261C23×C4C22×D4311yescharacteristic
1262C4⋊Q8—438no—
1263C4⋊Q8—438no—
1264C4⋊Q8—438no—
1265C4⋊Q8—438no—
1266C4⋊Q8C22×D4318yescomplemented
1267C4⋊Q8C22×D4318yescomplemented
1268#126—438no—
1269#126—438no—
1270#126—438no—
1271#126—438no—
1272#126—438no—
1273#126—438no—
1274#126—438no—
1275#126—438no—
1276#126C22×D4318yescomplemented
1277#126C22×D4318yescomplemented
1278#126C22×D4318yescomplemented
1279#126C22×D4318yescomplemented
1280#125—438no—
1281#125—438no—
1282#125—438no—
1283#125—438no—
1284#125—438no—
1285#125—438no—
1286#125—438no—
1287#125—438no—
1288#125C22×D4318yescomplemented
1289#125C22×D4318yescomplemented
1290#124—438no—
1291#124—438no—
1292#124—438no—
1293#124—438no—
1294#124—438no—
1295#124—438no—
1296#124—438no—
1297#124C22×D4318yes—
1298#123—438no—
1299#123—438no—
1300#123—438no—
1301#123—438no—
1302#123—438no—
1303#123—438no—
1304#123—438no—
1305#123—438no—
1306#123—438no—
1307#123—438no—
1308#123—438no—
1309#123—438no—
1310#123—438no—
1311#123—438no—
1312#123—438no—
1313#123—438no—
1314#123—438no—
1315#123—438no—
1316#123—438no—
1317#123—438no—
1318#123—438no—
1319#123—438no—
1320#123—438no—
1321#123—438no—
1322#123—438no—
1323#123—438no—
1324#123C22×D4318yes—
1325#123C22×D4318yes—
1326C22⋊Q8—438no—
1327C22⋊Q8—438no—
1328C22⋊Q8—438no—
1329C22⋊Q8—438no—
1330C22⋊Q8—438no—
1331C22⋊Q8—438no—
1332C22⋊Q8—438no—
1333C22⋊Q8—438no—
1334C22⋊Q8—438no—
1335C22⋊Q8—438no—
1336C22⋊Q8—438no—
1337C22⋊Q8—438no—
1338C22⋊Q8—438no—
1339C22⋊Q8—438no—
1340C22⋊Q8—438no—
1341C22⋊Q8—438no—
1342C22⋊Q8—438no—
1343C22⋊Q8—438no—
1344C22⋊Q8—438no—
1345C22⋊Q8—438no—
1346C22⋊Q8—438no—
1347C22⋊Q8—438no—
1348C22⋊Q8—438no—
1349C22⋊Q8—438no—
1350C22⋊Q8—438no—
1351C22⋊Q8—438no—
1352C22⋊Q8—438no—
1353C22⋊Q8—438no—
1354C22⋊Q8—438no—
1355C22⋊Q8—438no—
1356C22⋊Q8C22×D4318yescomplemented
1357C22⋊Q8C22×D4318yescomplemented
1358C22⋊Q8C22×D4318yescomplemented
1359C22⋊Q8C22×D4318yescomplemented
1360#121—438no—
1361#121—438no—
1362#121—438no—
1363#121—438no—
1364#121—438no—
1365#121—438no—
1366#121—438no—
1367#121—438no—
1368#121—438no—
1369#121—438no—
1370#120—438no—
1371#120—438no—
1372#120—438no—
1373#120—438no—
1374C4×Q8—438no—
1375C4×Q8—438no—
1376C4×D4—438no—
1377C4×D4—438no—
1378C4×D4—438no—
1379C4×D4—438no—
1380C4×D4—438no—
1381C4×D4—438no—
1382C4×D4—438no—
1383C4×D4—438no—
1384C4×D4—438no—
1385C4×D4—438no—
1386C4×D4—438no—
1387C4×D4—438no—
1388C4×D4—438no—
1389C4×D4—438no—
1390#117—438no—
1391#117—438no—
1392#117—438no—
1393#117—438no—
1394#117—438no—
1395#117—438no—
1396#117—438no—
1397C2×C4⋊C4—431no—
1398C2×C4⋊C4—431no—
1399C2×C4⋊C4—431no—
1400C2×C4⋊C4—431no—
1401C2×C4⋊C4—431no—
1402C2×C4⋊C4—431no—
1403C2×C4⋊C4—431no—
1404C2×C4⋊C4—431no—
1405C2×C4⋊C4—431no—
1406C2×C4⋊C4—431no—
1407C2×C4⋊C4—431no—
1408C2×C4⋊C4—431no—
1409C2×C4⋊C4—431no—
1410C2×C4⋊C4—431no—
1411C2×C4⋊C4—431no—
1412C2×C4⋊C4—431no—
1413C2×C4⋊C4—431no—
1414C2×C4⋊C4—431no—
1415C2×C4⋊C4—431no—
1416C2×C4⋊C4—431no—
1417C2×C4⋊C4—431no—
1418C2×C4⋊C4—431no—
1419C2×C4⋊C4—431no—
1420C2×C4⋊C4—431no—
1421C2×C4⋊C4—431no—
1422C2×C4⋊C4—431no—
1423C2×C4⋊C4—431no—
1424C2×C4⋊C4—431no—
1425C2×C4⋊C4—431no—
1426C2×C4⋊C4—431no—
1427C2×C4⋊C4—431no—
1428C2×C4⋊C4—431no—
1429C2×C4⋊C4—431no—
1430C2×C4⋊C4—431no—
1431C2×C4⋊C4—438no—
1432C2×C4⋊C4—438no—
1433C2×C4⋊C4—438no—
1434C2×C4⋊C4—438no—
1435C2×C4⋊C4—438no—
1436C2×C4⋊C4—438no—
1437C2×C4⋊C4—438no—
1438C2×C4⋊C4C22×D4311yescharacteristic
1439C2×C4⋊C4C22×D4311yescharacteristic
1440C2×C4⋊C4C22×D4311yescharacteristic
1441C2×C4⋊C4C22×D4311yescharacteristic
1442C2×C4⋊C4C22×D4311yescharacteristic
1443C2×C4⋊C4C22×D4311yescharacteristic
1444C2×C4⋊C4C22×D4311yescharacteristic
1445C2×C4⋊C4C22×D4311yescharacteristic
1446C2×C4⋊C4C22×D4311yescharacteristic
1447C2×C4⋊C4C22×D4311yescharacteristic
1448C2×C4⋊C4C22×D4311yescharacteristic
1449C2×C4⋊C4C22×D4311yescharacteristic
1450C2×C4⋊C4C22×D4311yescharacteristic
1451C2×C4⋊C4C22×D4311yescharacteristic
1452C2×C4⋊C4C22×D4311yescharacteristic
1453C2×C4⋊C4C22×D4311yescharacteristic
1454C2×C22⋊C4—431no—
1455C2×C22⋊C4—431no—
1456C2×C22⋊C4—431no—
1457C2×C22⋊C4—431no—
1458C2×C22⋊C4—431no—
1459C2×C22⋊C4—431no—
1460C2×C22⋊C4—431no—
1461C2×C22⋊C4—431no—
1462C2×C22⋊C4—431no—
1463C2×C22⋊C4—431no—
1464C2×C22⋊C4—431no—
1465C2×C22⋊C4—431no—
1466C2×C22⋊C4—431no—
1467C2×C22⋊C4—431no—
1468C2×C22⋊C4—431no—
1469C2×C22⋊C4—431no—
1470C2×C22⋊C4—431no—
1471C2×C22⋊C4—431no—
1472C2×C22⋊C4—431no—
1473C2×C22⋊C4—431no—
1474C2×C22⋊C4—438no—
1475C2×C22⋊C4—431no—
1476C2×C22⋊C4—431no—
1477C2×C22⋊C4—431no—
1478C2×C22⋊C4—431no—
1479C2×C22⋊C4—431no—
1480C2×C22⋊C4—431no—
1481C2×C22⋊C4—431no—
1482C2×C22⋊C4—431no—
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—438no—
1492C2×C22⋊C4—438no—
1493C2×C22⋊C4—438no—
1494C2×C22⋊C4—438no—
1495C2×C22⋊C4—438no—
1496C2×C22⋊C4—438no—
1497C2×C22⋊C4C22×D4311yescharacteristic
1498C2×C22⋊C4C22×D4311yescharacteristic
1499C2×C22⋊C4C22×D4311yescharacteristic
1500C2×C22⋊C4C22×D4311yescharacteristic
1501C2×C22⋊C4C22×D4311yescharacteristic
1502C2×C22⋊C4C22×D4311yescharacteristic
1503C2×C22⋊C4C22×D4311yescharacteristic
1504C2×C22⋊C4C22×D4311yescharacteristic
1505C2×C22⋊C4C22×D4311yescharacteristic
1506C2×C22⋊C4C22×D4311yescharacteristic
1507C2×C42—431no—
1508C2×C42—431no—
1509C2×C42—431no—
1510C2×C42—431no—
1511C2×C42—431no—
1512C2×C42—431no—
1513C2×C42—431no—
1514C2×C42C22×D4311yescharacteristic
1515C2×C42C22×D4311yescharacteristic
1516C2×C42C22×D4311yescharacteristic
1517C24—431no—
1518C24—431no—
1519C24—431no—
1520C24—431no—
1521C24—431no—
1522C24—434no—
1523C24—434no—
1524C24—864no—
1525C24—864no—
1526C24—864no—
1527C24—1722no—
1528C24—1722no—
1529C24—1722no—
1530C24C23×D4311yescharacteristic
1531C24C23×D4311yescharacteristic
1532#41—17216no—
1533#41—17216no—
1534#41—17216no—
1535C2×Q8—42no—
1536C2×Q8—42no—
1537C2×Q8—42no—
1538C2×Q8—434no—
1539C2×Q8—434no—
1540C2×Q8—434no—
1541C2×Q8—434no—
1542C2×Q8—434no—
1543C2×Q8—434no—
1544C2×Q8—1722no—
1545C2×Q8—1722no—
1546C2×Q8—1722no—
1547C2×Q8—1722no—
1548C2×Q8—1722no—
1549C2×Q8—1722no—
1550C2×Q8—17216no—
1551C2×Q8C23×D4314yes—
1552C2×Q8C23×D4314yes—
1553C2×Q8C23×D4314yes—
1554C2×D4—42no—
1555C2×D4—434no—
1556C2×D4—434no—
1557C2×D4—434no—
1558C2×D4—434no—
1559C2×D4—434no—
1560C2×D4—434no—
1561C2×D4—434no—
1562C2×D4—434no—
1563C2×D4—434no—
1564C2×D4—434no—
1565C2×D4—434no—
1566C2×D4—434no—
1567C2×D4—434no—
1568C2×D4—434no—
1569C2×D4—864no—
1570C2×D4—864no—
1571C2×D4—864no—
1572C2×D4—864no—
1573C2×D4—864no—
1574C2×D4—864no—
1575C2×D4—1722no—
1576C2×D4—1722no—
1577C2×D4—1722no—
1578C2×D4—1722no—
1579C2×D4—1722no—
1580C2×D4—1722no—
1581C2×D4—1722no—
1582C2×D4—1722no—
1583C2×D4—17216no—
1584C2×D4C23×D4314yes—
1585C22×C4—42no—
1586C22×C4—42no—
1587C22×C4—431no—
1588C22×C4—431no—
1589C22×C4—431no—
1590C22×C4—431no—
1591C22×C4—431no—
1592C22×C4—431no—
1593C22×C4—431no—
1594C22×C4—431no—
1595C22×C4—431no—
1596C22×C4—431no—
1597C22×C4—431no—
1598C22×C4—434no—
1599C22×C4—434no—
1600C22×C4—434no—
1601C22×C4—434no—
1602C22×C4—434no—
1603C22×C4—434no—
1604C22×C4—434no—
1605C22×C4—434no—
1606C22×C4—434no—
1607C22×C4—434no—
1608C22×C4—434no—
1609C22×C4—434no—
1610C22×C4—434no—
1611C22×C4—434no—
1612C22×C4—434no—
1613C22×C4—434no—
1614C22×C4—434no—
1615C22×C4—434no—
1616C22×C4—434no—
1617C22×C4—434no—
1618C22×C4—434no—
1619C22×C4—864no—
1620C22×C4—864no—
1621C22×C4—864no—
1622C22×C4—864no—
1623C22×C4—864no—
1624C22×C4—1722no—
1625C22×C4—1722no—
1626C22×C4—1722no—
1627C22×C4—1722no—
1628C22×C4—1722no—
1629C22×C4—1722no—
1630C22×C4—1722no—
1631C22×C4—1722no—
1632C22×C4—1722no—
1633C22×C4—1722no—
1634C22×C4—1722no—
1635C22×C4—1722no—
1636C22×C4—1722no—
1637C22×C4—1722no—
1638C22×C4—17216no—
1639C22×C4—1722no—
1640C22×C4—1722no—
1641C22×C4C23×D4311yescharacteristic
1642C22×C4C23×D4311yescharacteristic
1643C22×C4C23×D4311yescharacteristic
1644C22×C4C23×D4311yescharacteristic
1645C22×C4C23×D4311yescharacteristic
1646C22×C4C23×D4311yescharacteristic
1647C22×C4C23×D4311yescharacteristic
1648C22×C4C23×D4311yescharacteristic
1649C22×C4C23×D4311yescharacteristic
1650C22×C4C23×D4311yescharacteristic
1651C22×C4C23×D4311yescharacteristic
1652C22×C4C23×D4311yescharacteristic
1653C22×C4C23×D4311yescharacteristic
1654C22×C4C23×D4314yes—
1655C22×C4C23×D4314yes—
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⋊C4—434no—
1665C4⋊C4—434no—
1666C4⋊C4—434no—
1667C4⋊C4—434no—
1668C4⋊C4—434no—
1669C4⋊C4—434no—
1670C4⋊C4—434no—
1671C4⋊C4—434no—
1672C4⋊C4—434no—
1673C4⋊C4—434no—
1674C4⋊C4—434no—
1675C4⋊C4—434no—
1676C4⋊C4—434no—
1677C4⋊C4—434no—
1678C4⋊C4—434no—
1679C4⋊C4—434no—
1680C4⋊C4—434no—
1681C4⋊C4—434no—
1682C4⋊C4—434no—
1683C4⋊C4—434no—
1684C4⋊C4—434no—
1685C4⋊C4—434no—
1686C4⋊C4—434no—
1687C4⋊C4—434no—
1688C4⋊C4—434no—
1689C4⋊C4—434no—
1690C4⋊C4C23×D4314yes—
1691C4⋊C4C23×D4314yes—
1692C4⋊C4C23×D4314yes—
1693C4⋊C4C23×D4314yes—
1694C4⋊C4C23×D4314yes—
1695C4⋊C4C23×D4314yes—
1696C4⋊C4C23×D4314yes—
1697C4⋊C4C23×D4314yes—
1698C4⋊C4C23×D4314yes—
1699C4⋊C4C23×D4314yes—
1700C4⋊C4C23×D4314yes—
1701C4⋊C4C23×D4314yes—
1702C4⋊C4C23×D4314yes—
1703C4⋊C4C23×D4314yes—
1704C4⋊C4C23×D4314yes—
1705C4⋊C4C23×D4314yes—
1706C22⋊C4—434no—
1707C22⋊C4—434no—
1708C22⋊C4—434no—
1709C22⋊C4—434no—
1710C22⋊C4—434no—
1711C22⋊C4—434no—
1712C22⋊C4—434no—
1713C22⋊C4—434no—
1714C22⋊C4—434no—
1715C22⋊C4—434no—
1716C22⋊C4—434no—
1717C22⋊C4—434no—
1718C22⋊C4—434no—
1719C22⋊C4—434no—
1720C22⋊C4—434no—
1721C22⋊C4—434no—
1722C22⋊C4—434no—
1723C22⋊C4—434no—
1724C22⋊C4—434no—
1725C22⋊C4—434no—
1726C22⋊C4—434no—
1727C22⋊C4—434no—
1728C22⋊C4—434no—
1729C22⋊C4—434no—
1730C22⋊C4—434no—
1731C22⋊C4—434no—
1732C22⋊C4—434no—
1733C22⋊C4—434no—
1734C22⋊C4—434no—
1735C22⋊C4—434no—
1736C22⋊C4—434no—
1737C22⋊C4—434no—
1738C22⋊C4—434no—
1739C22⋊C4—434no—
1740C22⋊C4—434no—
1741C22⋊C4—434no—
1742C22⋊C4C23×D4314yes—
1743C22⋊C4C23×D4314yes—
1744C22⋊C4C23×D4314yes—
1745C22⋊C4C23×D4314yes—
1746C22⋊C4C23×D4314yes—
1747C22⋊C4C23×D4314yes—
1748C22⋊C4C23×D4314yes—
1749C22⋊C4C23×D4314yes—
1750C22⋊C4C23×D4314yes—
1751C22⋊C4C23×D4314yes—
1752C42—434no—
1753C42—434no—
1754C42—434no—
1755C42—434no—
1756C42—434no—
1757C42—434no—
1758C42—434no—
1759C42C23×D4314yes—
1760C42C23×D4314yes—
1761C42C23×D4314yes—
1762C23—22no—
1763C23—22no—
1764C23—22no—
1765C23—22no—
1766C23—22no—
1767C23—22no—
1768C23—434no—
1769C23—434no—
1770C23—432no—
1771C23—432no—
1772C23—432no—
1773C23—432no—
1774C23—432no—
1775C23—868no—
1776C23—868no—
1777C23—868no—
1778C23—862no—
1779C23—862no—
1780C23—862no—
1781C23—862no—
1782C23—862no—
1783C23—862no—
1784C23—862no—
1785C23—862no—
1786C23—862no—
1787C23—862no—
1788C23—862no—
1789C23—862no—
1790C23—862no—
1791C23—3448no—
1792C23—1724no—
1793C23—1724no—
1794C23—1724no—
1795C23—17216no—
1796C23C24×D4312yes—
1797C23C24×D4312yes—
1798C23C24×D4311yescharacteristic
1799Q8—44no—
1800Q8—44no—
1801Q8—44no—
1802Q8—1724no—
1803Q8—1724no—
1804Q8—1724no—
1805Q8—1724no—
1806Q8—1724no—
1807Q8—1724no—
1808D4—44no—
1809D4—868no—
1810D4—868no—
1811D4—868no—
1812D4—868no—
1813D4—868no—
1814D4—868no—
1815D4—1724no—
1816D4—1724no—
1817D4—1724no—
1818D4—1724no—
1819D4—1724no—
1820D4—1724no—
1821D4—1724no—
1822D4—1724no—
1823C2×C4—22no—
1824C2×C4—22no—
1825C2×C4—22no—
1826C2×C4—22no—
1827C2×C4—22no—
1828C2×C4—22no—
1829C2×C4—22no—
1830C2×C4—22no—
1831C2×C4—22no—
1832C2×C4—22no—
1833C2×C4—22no—
1834C2×C4—22no—
1835C2×C4—22no—
1836C2×C4—44no—
1837C2×C4—44no—
1838C2×C4—432no—
1839C2×C4—432no—
1840C2×C4—432no—
1841C2×C4—432no—
1842C2×C4—432no—
1843C2×C4—432no—
1844C2×C4—432no—
1845C2×C4—432no—
1846C2×C4—432no—
1847C2×C4—432no—
1848C2×C4—432no—
1849C2×C4—868no—
1850C2×C4—868no—
1851C2×C4—868no—
1852C2×C4—868no—
1853C2×C4—868no—
1854C2×C4—862no—
1855C2×C4—862no—
1856C2×C4—862no—
1857C2×C4—862no—
1858C2×C4—862no—
1859C2×C4—862no—
1860C2×C4—862no—
1861C2×C4—862no—
1862C2×C4—862no—
1863C2×C4—862no—
1864C2×C4—862no—
1865C2×C4—1724no—
1866C2×C4—1724no—
1867C2×C4—1724no—
1868C2×C4—1724no—
1869C2×C4—1724no—
1870C2×C4—1724no—
1871C2×C4—1724no—
1872C2×C4—1724no—
1873C2×C4—1724no—
1874C2×C4—1724no—
1875C2×C4—1724no—
1876C2×C4—1724no—
1877C2×C4—1724no—
1878C2×C4—1724no—
1879C2×C4—1724no—
1880C2×C4—1724no—
1881C2×C4C24×D4312yes—
1882C2×C4C24×D4312yes—
1883C2×C4C24×D4312yes—
1884C2×C4C24×D4312yes—
1885C2×C4C24×D4312yes—
1886C2×C4C24×D4312yes—
1887C2×C4C24×D4312yes—
1888C2×C4C24×D4312yes—
1889C2×C4C24×D4312yes—
1890C2×C4C24×D4312yes—
1891C2×C4C24×D4312yes—
1892C2×C4C24×D4312yes—
1893C2×C4C24×D4312yes—
1894C22—22no—
1895C22—22no—
1896C22—22no—
1897C22—22no—
1898C22—22no—
1899C22—22no—
1900C22—44no—
1901C22—44no—
1902C22—434no—
1903C22—434no—
1904C22—868no—
1905C22—868no—
1906C22—862no—
1907C22—862no—
1908C22—862no—
1909C22—862no—
1910C22—862no—
1911C22—862no—
1912C22—862no—
1913C22—862no—
1914C22—862no—
1915C22—862no—
1916C22—862no—
1917C22—862no—
1918C22—862no—
1919C22—3448no—
1920C22—17216no—
1921C22—1724no—
1922C22—1724no—
1923C22—1724no—
1924C22H(5,𝔽2)×D4312yes—
1925C222−1+4×D4312yes—
1926C22#1458373612yes—
1927C22C25×D4311yescharacteristic
1928C4—22no—
1929C4—22no—
1930C4—22no—
1931C4—22no—
1932C4—22no—
1933C4—22no—
1934C4—22no—
1935C4—22no—
1936C4—22no—
1937C4—22no—
1938C4—22no—
1939C4—22no—
1940C4—22no—
1941C4—862no—
1942C4—862no—
1943C4—862no—
1944C4—862no—
1945C4—862no—
1946C4—862no—
1947C4—862no—
1948C4—862no—
1949C4—862no—
1950C4—862no—
1951C4—862no—
1952C2—42no—
1953C2—42no—
1954C2—864no—
1955C2—864no—
1956C2—1722no—
1957C2—1722no—
1958C2—1722no—
1959C2#1914880614yesdirect product factor
1960C2C2×H(5,𝔽2)×D4311yescharacteristic
1961C2C2×2−1+4×D4311yescharacteristic
1962C2C2×#1458373611yescharacteristic
subgroupG/H
centerC23C24×D43
commutator, cosocleC22×C43C26
FrattiniC22C25×D43
FittingC2×C43×#563C2
socleC23×C43C25
hypercenterC2×#563D43
hypocenterC43C2×#3535
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×#563

Complements

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

NH ≅ G/Ntype
1. #19148806C2direct (N × H)
2. C2×#14583650C2semidirect
3. C2×#14583646C2semidirect
4. C2×#14583645C2semidirect
5. C2×#14583610C2semidirect
6. C2×#14583605C2semidirect
7. C2×#14583587C2semidirect
8. C2×#14583585C2semidirect
9. C2×#14583576C2semidirect
10. C2×#14583574C2semidirect
11. C2×#14583574C2semidirect
12. C2×#14583574C2semidirect
13. C2×#14583552C2semidirect
14. C2×#14583551C2semidirect
15. C2×#14583542C2semidirect
16. C2×#14583541C2semidirect
17. C2×#14583526C2semidirect
18. C2×#14583524C2semidirect
19. C2×#14583515C2semidirect
20. C2×#14583513C2semidirect
21. C2×#14583497C2semidirect
22. C2×#14583497C2semidirect
23. C2×#14583492C2semidirect
24. C2×#14583490C2semidirect
25. C2×#14583490C2semidirect
26. C2×#14583488C2semidirect
27. C2×#14583474C2semidirect
28. C2×#14583472C2semidirect
29. C2×#14583412C2semidirect
30. C2×#123×D43C2semidirect
31. C2×C22⋊Q8×D43C2semidirect
32. C2×C43×#563C2semidirect
34. C22×#10621902C22semidirect
36. C22×Q8×D43C22semidirect
39. #14583650C22semidirect
40. #14583646C22semidirect
41. #14583645C22semidirect
42. #14583610C22semidirect
43. #14583605C22semidirect
44. #14583587C22semidirect
45. #14583585C22semidirect
46. #14583576C22semidirect
47. #14583574C22semidirect
48. #14583574C22semidirect
49. #14583574C22semidirect
50. #14583552C22semidirect
51. #14583551C22semidirect
52. #14583542C22semidirect
53. #14583541C22semidirect
54. #14583526C22semidirect
55. #14583524C22semidirect
56. #14583515C22semidirect
57. #14583513C22semidirect
58. #14583497C22semidirect
59. #14583497C22semidirect
60. #14583492C22semidirect
61. #14583490C22semidirect
62. #14583490C22semidirect
63. #14583488C22semidirect
64. #14583474C22semidirect
65. #14583472C22semidirect
66. C2×#13063324C22semidirect
67. C2×#13063324C22semidirect
68. C2×#13063323C22semidirect
69. C2×#13063323C22semidirect
70. C2×#13063320C22semidirect
71. C2×#13063320C22semidirect
72. C2×#13063320C22semidirect
73. C2×#13063320C22semidirect
74. C2×#13063319C22semidirect
75. C2×#13063318C22semidirect
76. C2×#13063318C22semidirect
77. C2×#13063318C22semidirect
78. C2×#13063317C22semidirect
79. C2×#13063316C22semidirect
80. C2×#13063316C22semidirect
81. C2×#13063316C22semidirect
82. C2×#13063316C22semidirect
83. C2×#13063315C22semidirect
84. C2×#13063315C22semidirect
85. C2×#13063315C22semidirect
86. C2×#13063314C22semidirect
87. C2×#13063313C22semidirect
89. C2×#13063311C22semidirect
90. C2×#13063311C22semidirect
91. C2×#13063311C22semidirect
92. C2×#13063311C22semidirect
93. #14583412C22semidirect
99. C2×#13063310C22semidirect
100. C2×#13063310C22semidirect
101. C2×#13063310C22semidirect
102. C2×#13063310C22semidirect
103. C2×#13063310C22semidirect
104. C2×#13063310C22semidirect
105. C2×#13063310C22semidirect
106. C2×#13063310C22semidirect
107. C2×#13063310C22semidirect
109. C2×#13063309C22semidirect
115. C2×#13063307C22semidirect
116. C2×#13063307C22semidirect
117. C2×#13063307C22semidirect
118. C2×#13063307C22semidirect
120. #123×D43C22semidirect
123. C2×#13063305C22semidirect
124. C2×#13063305C22semidirect
125. C2×#13063305C22semidirect
126. C2×#13063305C22semidirect
127. C2×#13063305C22semidirect
128. C2×#13063304C22semidirect
129. C2×#13063304C22semidirect
134. C2×#13063303C22semidirect
135. C2×#13063303C22semidirect
136. C2×#13063303C22semidirect
137. C2×#13063303C22semidirect
138. C2×#13063303C22semidirect
139. C2×#13063303C22semidirect
140. C2×#13063303C22semidirect
141. C2×#13063302C22semidirect
142. C2×#13063302C22semidirect
143. C2×#13063302C22semidirect
144. C2×#13063302C22semidirect
148. C2×#13063301C22semidirect
149. C2×#13063301C22semidirect
150. C2×#13063301C22semidirect
151. C22⋊Q8×D43C22semidirect
154. C2×#13063300C22semidirect
155. C2×#13063299C22semidirect
159. C2×#13063298C22semidirect
166. C2×C4×Dic86C22semidirect
167. C2×C4×Dic86C22semidirect
171. C2×C4×D172C22semidirect
172. C2×C4×D172C22semidirect
177. C2×#13063287C22semidirect
178. C2×C4×C22⋊D43C22semidirect
180. C2×(C22⋊D43)⋊C4C22semidirect
181. C2×(C22⋊D43)⋊C4C22semidirect
183. C2×#13063283C22semidirect
184. C2×#13063283C22semidirect
185. C2×#13063283C22semidirect
187. C2×#13063282C22semidirect
188. C2×#13063281C22semidirect
191. C2×C4⋊C4×D43C22semidirect
192. C2×C4⋊C4×D43C22semidirect
193. C2×C4⋊C4×D43C22semidirect
194. C2×C4⋊C4×D43C22semidirect
195. C2×C4⋊C4×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
224. C2×#10621902C23semidirect
234. C2×Q8×D43C23semidirect
274. #13063324C23semidirect
275. #13063324C23semidirect
276. #13063323C23semidirect
277. #13063323C23semidirect
278. #13063320C23semidirect
279. #13063320C23semidirect
280. #13063320C23semidirect
281. #13063320C23semidirect
282. #13063319C23semidirect
283. #13063318C23semidirect
284. #13063318C23semidirect
285. #13063318C23semidirect
286. #13063317C23semidirect
287. #13063316C23semidirect
288. #13063316C23semidirect
289. #13063316C23semidirect
290. #13063316C23semidirect
291. #13063315C23semidirect
292. #13063315C23semidirect
293. #13063315C23semidirect
294. #13063314C23semidirect
295. #13063313C23semidirect
297. #13063311C23semidirect
298. #13063311C23semidirect
299. #13063311C23semidirect
300. #13063311C23semidirect
306. #13063310C23semidirect
307. #13063310C23semidirect
308. #13063310C23semidirect
309. #13063310C23semidirect
310. #13063310C23semidirect
311. #13063310C23semidirect
312. #13063310C23semidirect
313. #13063310C23semidirect
314. #13063310C23semidirect
316. #13063309C23semidirect
322. #13063307C23semidirect
323. #13063307C23semidirect
324. #13063307C23semidirect
325. #13063307C23semidirect
329. #13063305C23semidirect
330. #13063305C23semidirect
331. #13063305C23semidirect
332. #13063305C23semidirect
333. #13063305C23semidirect
334. #13063304C23semidirect
335. #13063304C23semidirect
340. #13063303C23semidirect
341. #13063303C23semidirect
342. #13063303C23semidirect
343. #13063303C23semidirect
344. #13063303C23semidirect
345. #13063303C23semidirect
346. #13063303C23semidirect
347. #13063302C23semidirect
348. #13063302C23semidirect
349. #13063302C23semidirect
350. #13063302C23semidirect
354. #13063301C23semidirect
355. #13063301C23semidirect
356. #13063301C23semidirect
359. #13063300C23semidirect
360. #13063299C23semidirect
364. #13063298C23semidirect
371. C4×Dic86C23semidirect
372. C4×Dic86C23semidirect
376. C4×D172C23semidirect
377. C4×D172C23semidirect
382. #13063287C23semidirect
383. C4×C22⋊D43C23semidirect
385. (C22⋊D43)⋊C4C23semidirect
386. (C22⋊D43)⋊C4C23semidirect
388. #13063283C23semidirect
389. #13063283C23semidirect
390. #13063283C23semidirect
392. #13063282C23semidirect
393. #13063281C23semidirect
430. C4⋊C4×D43C23semidirect
431. C4⋊C4×D43C23semidirect
432. C4⋊C4×D43C23semidirect
433. C4⋊C4×D43C23semidirect
434. C4⋊C4×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
973. C2×#563D43semidirect
1005. C2×C43#3535semidirect
1021. #563C2×D43semidirect
1052. C2×C4⋊Q8C2×D43semidirect
1053. C2×C4⋊Q8C2×D43semidirect
1062. C2×#126C2×D43semidirect
1063. C2×#126C2×D43semidirect
1064. C2×#126C2×D43semidirect
1065. C2×#126C2×D43semidirect
1074. C2×#125C2×D43semidirect
1075. C2×#125C2×D43semidirect
1145. C2×C22⋊Q8C2×D43semidirect
1146. C2×C22⋊Q8C2×D43semidirect
1147. C2×C22⋊Q8C2×D43semidirect
1148. C2×C22⋊Q8C2×D43semidirect
1200. C43C2×#3535semidirect
1266. C4⋊Q8C22×D43semidirect
1267. C4⋊Q8C22×D43semidirect
1276. #126C22×D43semidirect
1277. #126C22×D43semidirect
1278. #126C22×D43semidirect
1279. #126C22×D43semidirect
1288. #125C22×D43semidirect
1289. #125C22×D43semidirect
1356. C22⋊Q8C22×D43semidirect
1357. C22⋊Q8C22×D43semidirect
1358. C22⋊Q8C22×D43semidirect
1359. C22⋊Q8C22×D43semidirect
1959. C2#19148806direct (N × H)

Maximal subgroups

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

subgroupindex
#191488062
C2×#145836502
C2×#145836462
C2×#145836452
C2×#145836102
C2×#145836052
C2×#145835872
C2×#145835852
C2×#145835762
C2×#145835742
C2×#145835522
C2×#145835512
C2×#145835422
C2×#145835412
C2×#145835262
C2×#145835242
C2×#145835152
C2×#145835132
C2×#145834972
C2×#145834922
C2×#145834902
C2×#145834882
C2×#145834742
C2×#145834722
C2×#145834122
C2×#123×D432
C2×C22⋊Q8×D432
C2×C43×#5632
C2×#353543