Finite Group Databasebeta

← C2×#19148803 #26003805

Subgroups — C2×#19148803 #26003805

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#19148803C2132yesmaximal, direct product factor
2C2×#14583652C211yesmaximal, characteristic, complemented
3C2×#14583651C211yesmaximal, characteristic, complemented
4C2×#14583646C211yesmaximal, characteristic, complemented
5C2×#14583644C211yesmaximal, characteristic, complemented
6C2×#14583605C211yesmaximal, characteristic, complemented
7C2×#14583604C211yesmaximal, characteristic, complemented
8C2×#14583585C211yesmaximal, characteristic, complemented
9C2×#14583581C211yesmaximal, characteristic, complemented
10C2×#14583578C211yesmaximal, characteristic, complemented
11C2×#14583577C211yesmaximal, characteristic, complemented
12C2×#14583574C211yesmaximal, characteristic, complemented
13C2×#14583574C211yesmaximal, characteristic, complemented
14C2×#14583554C211yesmaximal, characteristic, complemented
15C2×#14583550C211yesmaximal, characteristic, complemented
16C2×#14583546C211yesmaximal, characteristic, complemented
17C2×#14583541C211yesmaximal, characteristic, complemented
18C2×#14583529C211yesmaximal, characteristic, complemented
19C2×#14583524C211yesmaximal, characteristic, complemented
20C2×#14583517C211yesmaximal, characteristic, complemented
21C2×#14583514C211yesmaximal, characteristic, complemented
22C2×#14583497C211yesmaximal, characteristic, complemented
23C2×#14583495C211yesmaximal, characteristic, complemented
24C2×#14583495C211yesmaximal, characteristic, complemented
25C2×#14583492C211yesmaximal, characteristic, complemented
26C2×#14583485C211yesmaximal, characteristic, complemented
27C2×#14583472C211yesmaximal, characteristic, complemented
28C2×#14583472C211yesmaximal, characteristic, complemented
29C2×#14583408C211yesmaximal, characteristic, complemented
30C2×#123×D43C211yesmaximal, characteristic, complemented
31C2×C22⋊Q8×D43C211yesmaximal, characteristic, complemented
32C2×C43×#539C211yesmaximal, characteristic, complemented
33C22×#10621898C2211yescharacteristic
34C22×#10621898C2211yescharacteristic
35C22×#10621898C2211yescharacteristic, complemented
36C22×Q8×D43C2211yescharacteristic, complemented
37C22×D4×D43C2211yescharacteristic
38C23×C4×D43C2211yescharacteristic
39#14583652C22116yescomplemented
40#14583651C22116yescomplemented
41#14583646C22116yescomplemented
42#14583644C22116yescomplemented
43#14583605C22116yescomplemented
44#14583604C22116yescomplemented
45#14583585C22116yescomplemented
46#14583581C22116yescomplemented
47#14583578C22116yescomplemented
48#14583577C22116yescomplemented
49#14583574C22116yescomplemented
50#14583574C22116yescomplemented
51#14583554C22116yescomplemented
52#14583550C22116yescomplemented
53#14583546C22116yescomplemented
54#14583541C22116yescomplemented
55#14583529C22116yescomplemented
56#14583524C22116yescomplemented
57#14583517C22116yescomplemented
58#14583514C22116yescomplemented
59#14583497C22116yescomplemented
60#14583495C22116yescomplemented
61#14583495C22116yescomplemented
62#14583492C22116yescomplemented
63#14583485C22116yescomplemented
64#14583472C22116yescomplemented
65#14583472C22116yescomplemented
66C2×#13063325C2211yescharacteristic, complemented
67C2×#13063324C2211yescharacteristic, complemented
68C2×#13063324C2211yescharacteristic, complemented
69C2×#13063324C2211yescharacteristic, complemented
70C2×#13063324C2211yescharacteristic, complemented
71C2×#13063324C2211yescharacteristic, complemented
72C2×#13063320C2211yescharacteristic, complemented
73C2×#13063320C2211yescharacteristic, complemented
74C2×#13063320C2211yescharacteristic, complemented
75C2×#13063319C2211yescharacteristic, complemented
76C2×#13063318C2211yescharacteristic, complemented
77C2×#13063318C2211yescharacteristic, complemented
78C2×#13063318C2211yescharacteristic, complemented
79C2×#13063318C2211yescharacteristic, complemented
80C2×#13063318C2211yescharacteristic, complemented
81C2×#13063318C2211yescharacteristic, complemented
82C2×#13063316C2211yescharacteristic, complemented
83C2×#13063316C2211yescharacteristic, complemented
84C2×#13063315C2211yescharacteristic, complemented
85C2×#13063315C2211yescharacteristic, complemented
86C2×#13063315C2211yescharacteristic, complemented
87C2×#13063315C2211yescharacteristic, complemented
88C2×#13063315C2211yescharacteristic, complemented
89C2×#13063315C2211yescharacteristic, complemented
90C2×#13063312C2211yescharacteristic
91C2×#13063312C2211yescharacteristic, complemented
92C2×#13063311C2211yescharacteristic
93C2×#13063311C2211yescharacteristic, complemented
94C2×#13063311C2211yescharacteristic, complemented
95C2×#13063311C2211yescharacteristic, complemented
96C2×#13063311C2211yescharacteristic, complemented
97C2×#13063311C2211yescharacteristic, complemented
98#14583408C22116yescomplemented
99C2×#13063310C2211yescharacteristic
100C2×#13063310C2211yescharacteristic
101C2×#13063310C2211yescharacteristic
102C2×#13063310C2211yescharacteristic
103C2×#13063310C2211yescharacteristic, complemented
104C2×#13063310C2211yescharacteristic, complemented
105C2×#13063310C2211yescharacteristic, complemented
106C2×#13063310C2211yescharacteristic, complemented
107C2×#13063309C2211yescharacteristic
108C2×#13063308C2211yescharacteristic
109C2×#13063308C2211yescharacteristic, complemented
110C2×#13063308C2211yescharacteristic, complemented
111C2×#13063307C2211yescharacteristic
112C2×#13063307C2211yescharacteristic
113C2×#13063307C2211yescharacteristic
114C2×#13063307C2211yescharacteristic
115C2×#13063307C2211yescharacteristic
116C2×#13063307C2211yescharacteristic, complemented
117C2×#13063307C2211yescharacteristic, complemented
118C2×#13063307C2211yescharacteristic, complemented
119C2×#13063307C2211yescharacteristic, complemented
120C2×#13063307C2211yescharacteristic, complemented
121C2×#13063306C2211yescharacteristic
122C2×#13063306C2211yescharacteristic, complemented
123#123×D43C22116yescomplemented
124C2×#13063305C2211yescharacteristic
125C2×#13063305C2211yescharacteristic
126C2×#13063305C2211yescharacteristic
127C2×#13063305C2211yescharacteristic, complemented
128C2×#13063305C2211yescharacteristic, complemented
129C2×#13063305C2211yescharacteristic, complemented
130C2×#13063304C2211yescharacteristic, complemented
131C2×#13063304C2211yescharacteristic, complemented
132C2×#13063304C2211yescharacteristic, complemented
133C2×#13063304C2211yescharacteristic, complemented
134C2×#13063304C2211yescharacteristic, complemented
135C2×#13063304C2211yescharacteristic, complemented
136C2×#13063303C2211yescharacteristic
137C2×#13063303C2211yescharacteristic
138C2×#13063303C2211yescharacteristic
139C2×#13063303C2211yescharacteristic
140C2×#13063303C2211yescharacteristic
141C2×#13063303C2211yescharacteristic, complemented
142C2×#13063303C2211yescharacteristic, complemented
143C2×#13063303C2211yescharacteristic, complemented
144C2×#13063303C2211yescharacteristic, complemented
145C2×#13063303C2211yescharacteristic, complemented
146C2×#13063303C2211yescharacteristic, complemented
147C2×#13063302C2211yescharacteristic, complemented
148C2×#13063302C2211yescharacteristic, complemented
149C2×#13063302C2211yescharacteristic, complemented
150C2×#13063302C2211yescharacteristic, complemented
151C2×#13063302C2211yescharacteristic, complemented
152C2×#13063301C2211yescharacteristic
153C2×#13063301C2211yescharacteristic, complemented
154C2×#13063301C2211yescharacteristic, complemented
155C22⋊Q8×D43C22116yescomplemented
156C2×#13063300C2211yescharacteristic
157C2×#13063299C2211yescharacteristic, complemented
158C2×#13063298C2211yescharacteristic
159C2×#13063298C2211yescharacteristic
160C2×#13063297C2211yescharacteristic
161C2×#13063297C2211yescharacteristic, complemented
162C2×#13063296C2211yescharacteristic
163C2×#13063296C2211yescharacteristic
164C2×#13063296C2211yescharacteristic, complemented
165C2×#13063295C2211yescharacteristic
166C2×#13063295C2211yescharacteristic
167C2×#13063293C2211yescharacteristic
168C2×#13063293C2211yescharacteristic
169C2×C4×Dic86C2211yescharacteristic, complemented
170C2×#13063290C2211yescharacteristic, complemented
171C2×C4×D172C2211yescharacteristic
172C2×C4×D172C2211yescharacteristic, complemented
173C2×#13063287C2211yescharacteristic
174C2×#13063287C2211yescharacteristic
175C2×#13063287C2211yescharacteristic
176C2×#13063287C2211yescharacteristic, complemented
177C2×C4×C22⋊D43C2211yescharacteristic
178C2×C4×C22⋊D43C2211yescharacteristic
179C2×C4×C22⋊D43C2211yescharacteristic
180C2×C4×C22⋊D43C2211yescharacteristic, complemented
181C2×C4×C22⋊D43C2211yescharacteristic, complemented
182C2×(C22⋊D43)⋊C4C2211yescharacteristic
183C2×#13063283C2211yescharacteristic
184C2×#13063283C2211yescharacteristic, complemented
185C2×#13063283C2211yescharacteristic, complemented
186C2×#13063282C2211yescharacteristic
187C2×#13063282C2211yescharacteristic, complemented
188C2×#13063282C2211yescharacteristic, complemented
189C2×#13063281C2211yescharacteristic, complemented
190C2×C4⋊C4×D43C2211yescharacteristic
191C2×C4⋊C4×D43C2211yescharacteristic
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×#539C22116yescomplemented
204C2×#126×C43C2211yescharacteristic, complemented
205C2×#126×C43C2211yescharacteristic, complemented
206C2×#125×C43C2211yescharacteristic, complemented
207C2×#125×C43C2211yescharacteristic, complemented
208C2×#123×C43C2211yescharacteristic
209C2×#123×C43C2211yescharacteristic
210C2×#123×C43C2211yescharacteristic, complemented
211C2×#123×C43C2211yescharacteristic, complemented
212C2×C22⋊Q8×C43C2211yescharacteristic, complemented
213C2×C22⋊Q8×C43C2211yescharacteristic, complemented
214C2×C22⋊Q8×C43C2211yescharacteristic, complemented
215C2×#121×C43C2211yescharacteristic
216C2×C4×D4×C43C2211yescharacteristic, complemented
217C2×C4×D4×C43C2211yescharacteristic, complemented
218C22×C4⋊C4×C43C2211yescharacteristic, complemented
219C24×D43C2311yescharacteristic
220C24×D43C2311yescharacteristic
221C2×#10621898—44no—
222C2×#10621898—44no—
223C2×#10621898—44no—
224C2×#10621898C2318yes—
225C2×#10621898C2318yes—
226C2×#10621898C2318yescomplemented
227C22×Dic86C2311yescharacteristic
228C22×Dic86C2311yescharacteristic
229C22×Dic86C2311yescharacteristic
230C22×Dic86C2311yescharacteristic
231C22×Dic86C2311yescharacteristic
232C22×Dic86C2311yescharacteristic
233C22×Dic86C2311yescharacteristic
234C22×Dic86C2311yescharacteristic
235C2×Q8×D43—44no—
236C2×Q8×D43C2318yescomplemented
237C22×D172C2311yescharacteristic
238C22×D172C2311yescharacteristic
239C22×D172C2311yescharacteristic
240C22×D172C2311yescharacteristic
241C22×C22⋊D43C2311yescharacteristic
242C22×C22⋊D43C2311yescharacteristic
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×D43C2318yes—
271#13063325C2318yescomplemented
272#13063324C2318yescomplemented
273#13063324C2318yescomplemented
274#13063324C2318yescomplemented
275#13063324C2318yescomplemented
276#13063324C2318yescomplemented
277#13063320C2318yescomplemented
278#13063320C2318yescomplemented
279#13063320C2318yescomplemented
280#13063319C2318yescomplemented
281#13063318C2318yescomplemented
282#13063318C2318yescomplemented
283#13063318C2318yescomplemented
284#13063318C2318yescomplemented
285#13063318C2318yescomplemented
286#13063318C2318yescomplemented
287#13063316C2318yescomplemented
288#13063316C2318yescomplemented
289#13063315C2318yescomplemented
290#13063315C2318yescomplemented
291#13063315C2318yescomplemented
292#13063315C2318yescomplemented
293#13063315C2318yescomplemented
294#13063315C2318yescomplemented
295#13063312C2318yes—
296#13063312C2318yescomplemented
297#13063311C2318yes—
298#13063311C2318yescomplemented
299#13063311C2318yescomplemented
300#13063311C2318yescomplemented
301#13063311C2318yescomplemented
302#13063311C2318yescomplemented
303#13063310C2318yes—
304#13063310C2318yes—
305#13063310C2318yes—
306#13063310C2318yes—
307#13063310C2318yescomplemented
308#13063310C2318yescomplemented
309#13063310C2318yescomplemented
310#13063310C2318yescomplemented
311#13063309C2318yes—
312#13063308C2318yes—
313#13063308C2318yescomplemented
314#13063308C2318yescomplemented
315#13063307C2318yes—
316#13063307C2318yes—
317#13063307C2318yes—
318#13063307C2318yes—
319#13063307C2318yes—
320#13063307C2318yescomplemented
321#13063307C2318yescomplemented
322#13063307C2318yescomplemented
323#13063307C2318yescomplemented
324#13063307C2318yescomplemented
325#13063306C2318yes—
326#13063306C2318yescomplemented
327#13063305C2318yes—
328#13063305C2318yes—
329#13063305C2318yes—
330#13063305C2318yescomplemented
331#13063305C2318yescomplemented
332#13063305C2318yescomplemented
333#13063304C2318yescomplemented
334#13063304C2318yescomplemented
335#13063304C2318yescomplemented
336#13063304C2318yescomplemented
337#13063304C2318yescomplemented
338#13063304C2318yescomplemented
339#13063303C2318yes—
340#13063303C2318yes—
341#13063303C2318yes—
342#13063303C2318yes—
343#13063303C2318yes—
344#13063303C2318yescomplemented
345#13063303C2318yescomplemented
346#13063303C2318yescomplemented
347#13063303C2318yescomplemented
348#13063303C2318yescomplemented
349#13063303C2318yescomplemented
350#13063302C2318yescomplemented
351#13063302C2318yescomplemented
352#13063302C2318yescomplemented
353#13063302C2318yescomplemented
354#13063302C2318yescomplemented
355#13063301C2318yes—
356#13063301C2318yescomplemented
357#13063301C2318yescomplemented
358#13063300C2318yes—
359#13063299C2318yescomplemented
360#13063298C2318yes—
361#13063298C2318yes—
362#13063297C2318yes—
363#13063297C2318yescomplemented
364#13063296C2318yes—
365#13063296C2318yes—
366#13063296C2318yescomplemented
367#13063295C2318yes—
368#13063295C2318yes—
369#13063293C2318yes—
370#13063293C2318yes—
371C4×Dic86C2318yescomplemented
372#13063290C2318yescomplemented
373C4×D172C2318yes—
374C4×D172C2318yescomplemented
375#13063287C2318yes—
376#13063287C2318yes—
377#13063287C2318yes—
378#13063287C2318yescomplemented
379C4×C22⋊D43C2318yes—
380C4×C22⋊D43C2318yes—
381C4×C22⋊D43C2318yes—
382C4×C22⋊D43C2318yescomplemented
383C4×C22⋊D43C2318yescomplemented
384(C22⋊D43)⋊C4C2318yes—
385#13063283C2318yes—
386#13063283C2318yescomplemented
387#13063283C2318yescomplemented
388#13063282C2318yes—
389#13063282C2318yescomplemented
390#13063282C2318yescomplemented
391#13063281C2318yescomplemented
392C2×C4⋊Dic43C2311yescharacteristic
393C2×C4⋊Dic43C2311yescharacteristic
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×Dic43⋊C4C2311yescharacteristic
405C2×Dic43⋊C4C2311yescharacteristic
406C2×Dic43⋊C4C2311yescharacteristic
407C2×Dic43⋊C4C2311yescharacteristic
408C2×Dic43⋊C4C2311yescharacteristic
409C2×Dic43⋊C4C2311yescharacteristic
410C2×Dic43⋊C4C2311yescharacteristic
411C2×Dic43⋊C4C2311yescharacteristic
412C2×Dic43⋊C4C2311yescharacteristic
413C2×Dic43⋊C4C2311yescharacteristic
414C2×Dic43⋊C4C2311yescharacteristic
415C2×Dic43⋊C4C2311yescharacteristic
416C2×Dic43⋊C4C2311yescharacteristic
417C2×Dic43⋊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
434C2×C22⋊Dic43C2311yescharacteristic
435C2×C22⋊Dic43C2311yescharacteristic
436C2×C22⋊Dic43C2311yescharacteristic
437C2×C22⋊Dic43C2311yescharacteristic
438C2×C22⋊Dic43C2311yescharacteristic
439C2×C22⋊Dic43C2311yescharacteristic
440C2×C22⋊Dic43C2311yescharacteristic
441C2×C22⋊Dic43C2311yescharacteristic
442C2×C22⋊Dic43C2311yescharacteristic
443C2×C22⋊Dic43C2311yescharacteristic
444C2×C22⋊Dic43C2311yescharacteristic
445C2×C22⋊Dic43C2311yescharacteristic
446C2×(C2×D43)⋊C4C2318yes—
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
471C22⋊C4×D43C2318yes—
472C22⋊C4×D43C2318yes—
473C22⋊C4×D43C2318yes—
474C22⋊C4×D43C2318yes—
475C22⋊C4×D43C2318yes—
476C22⋊C4×D43C2318yes—
477C2×C4×Dic43C2311yescharacteristic
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×D4×C43C2311yescharacteristic
487C22×D4×C43C2311yescharacteristic
488C22×D4×C43C2311yescharacteristic
489C23×C4×C43C2311yescharacteristic
490C23×C4×C43C2311yescharacteristic
491C23×C4×C43C2311yescharacteristic
492C23×C4×C43C2311yescharacteristic
493C23×C4×C43C2311yescharacteristic
494#126×C43C2318yescomplemented
495#126×C43C2318yescomplemented
496#125×C43C2318yescomplemented
497#125×C43C2318yescomplemented
498#123×C43C2318yes—
499#123×C43C2318yes—
500#123×C43C2318yescomplemented
501#123×C43C2318yescomplemented
502C22⋊Q8×C43C2318yescomplemented
503C22⋊Q8×C43C2318yescomplemented
504C22⋊Q8×C43C2318yescomplemented
505#121×C43C2318yes—
506C4×D4×C43C2318yescomplemented
507C4×D4×C43C2318yescomplemented
508C2×C4⋊C4×C43C2311yescharacteristic
509C2×C4⋊C4×C43C2311yescharacteristic
510C2×C4⋊C4×C43C2311yescharacteristic
511C2×C4⋊C4×C43C2311yescharacteristic
512C2×C4⋊C4×C43C2311yescharacteristic
513C2×C4⋊C4×C43C2311yescharacteristic
514C2×C4⋊C4×C43C2311yescharacteristic
515C2×C4⋊C4×C43C2311yescharacteristic
516C2×C4⋊C4×C43C2311yescharacteristic
517C2×C4⋊C4×C43C2311yescharacteristic
518C2×C4⋊C4×C43C2311yescharacteristic
519C2×C4⋊C4×C43C2311yescharacteristic
520C2×C4⋊C4×C43C2311yescharacteristic
521C2×C4⋊C4×C43C2311yescharacteristic
522C2×C4⋊C4×C43C2318yescomplemented
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×C22⋊C4×C43C2311yescharacteristic
533C2×C42×C43C2311yescharacteristic
534C2×C42×C43C2311yescharacteristic
535C24×C43C2411yescharacteristic
536C24×C43C2411yescharacteristic
537C24×C43C2411yescharacteristic
538C23×D43—24no—
539C23×D43—24no—
540C23×D43—24no—
541C23×D43—42no—
542C23×D43—42no—
543C23×D43—42no—
544C23×D43C2411yescharacteristic
545C23×D43C2411yescharacteristic
546C23×D43C2414yes—
547C23×D43C2411yescharacteristic
548C23×D43C2411yescharacteristic
549C23×D43C2414yes—
550C2×Q8×C43—42no—
551C2×Q8×C43C2414yes—
552C2×D4×C43—42no—
553C2×D4×C43—42no—
554C2×D4×C43—42no—
555C2×D4×C43C2414yes—
556C2×D4×C43C2414yes—
557C2×D4×C43C2414yes—
558C22×C4×C43—42no—
559C22×C4×C43—42no—
560C22×C4×C43—42no—
561C22×C4×C43—42no—
562C22×C4×C43—42no—
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×C43C2411yescharacteristic
574C22×C4×C43C2411yescharacteristic
575C22×C4×C43C2414yes—
576C22×C4×C43C2414yes—
577C22×C4×C43C2414yes—
578C22×C4×C43C2414yes—
579C22×C4×C43C2414yes—
580C2×C22⋊D43—24no—
581C2×C22⋊D43—24no—
582C2×C22⋊D43—24no—
583C2×C22⋊D43—42no—
584C2×C22⋊D43—42no—
585C2×C22⋊D43—42no—
586C2×C22⋊D43—42no—
587C2×C22⋊D43—42no—
588C2×C22⋊D43C2414yes—
589C2×C22⋊D43C2414yes—
590C2×C22⋊D43C2414yes—
591C2×C22⋊D43C2414yes—
592C2×C22⋊D43C2414yes—
593C2×C22⋊D43C2414yes—
594C2×C22⋊D43C2414yes—
595C2×C22⋊D43C2414yes—
596C22×Dic43—42no—
597C22×Dic43—42no—
598C22×Dic43C2411yescharacteristic
599C22×Dic43C2411yescharacteristic
600C22×Dic43C2411yescharacteristic
601C22×Dic43C2411yescharacteristic
602C22×Dic43C2411yescharacteristic
603C22×Dic43C2411yescharacteristic
604C22×Dic43C2411yescharacteristic
605C22×Dic43C2411yescharacteristic
606C22×Dic43C2411yescharacteristic
607C22×Dic43C2411yescharacteristic
608C22×Dic43C2411yescharacteristic
609C22×Dic43C2411yescharacteristic
610C22×Dic43C2414yes—
611C22×Dic43C2414yes—
612Q8×D43—416no—
613D4×D43—416no—
614#10621898—416no—
615#10621898—416no—
616#10621898—416no—
617C2×D172—24no—
618C2×D172—24no—
619C2×D172—24no—
620C2×D172—42no—
621C2×D172C2414yes—
622C2×D172C2414yes—
623C2×D172C2414yes—
624C2×D172C2414yes—
625C2×C4×D43—24no—
626C2×C4×D43—24no—
627C2×C4×D43—24no—
628C2×C4×D43—24no—
629C2×C4×D43—24no—
630C2×C4×D43—416no—
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×D43C2414yes—
643C2×C4×D43C2414yes—
644C2×C4×D43C2414yes—
645C2×C4×D43C2414yes—
646C2×C4×D43C2414yes—
647C2×C4×D43C2414yes—
648C2×C4×D43C2414yes—
649C2×C4×D43C2414yes—
650C2×C4×D43C2414yes—
651C2×C4×D43C2414yes—
652C2×C4×D43C2414yes—
653C2×C4×D43C2414yes—
654C2×C4×D43C2414yes—
655C2×C4×D43C2414yes—
656C2×C4×D43C2414yes—
657C2×C4×D43C2414yes—
658C2×Dic86—42no—
659C2×Dic86—42no—
660C2×Dic86—42no—
661C2×Dic86—42no—
662C2×Dic86—42no—
663C2×Dic86—42no—
664C2×Dic86—42no—
665C2×Dic86—42no—
666C2×Dic86C2414yes—
667C2×Dic86C2414yes—
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—
688C22⋊C4×C43C2414yes—
689C22⋊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—
698C42×C43C2414yes—
699C42×C43C2414yes—
700C22⋊Dic43C2414yes—
701C22⋊Dic43C2414yes—
702C22⋊Dic43C2414yes—
703C22⋊Dic43C2414yes—
704C22⋊Dic43C2414yes—
705C22⋊Dic43C2414yes—
706C22⋊Dic43C2414yes—
707C22⋊Dic43C2414yes—
708C22⋊Dic43C2414yes—
709C22⋊Dic43C2414yes—
710C22⋊Dic43C2414yes—
711C22⋊Dic43C2414yes—
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—
736C4⋊Dic43C2414yes—
737C4⋊Dic43C2414yes—
738C4⋊Dic43C2414yes—
739C4⋊Dic43C2414yes—
740C4⋊Dic43C2414yes—
741C4⋊Dic43C2414yes—
742C4⋊Dic43C2414yes—
743C4⋊Dic43C2414yes—
744C4⋊Dic43C2414yes—
745C4⋊Dic43C2414yes—
746C4⋊Dic43C2414yes—
747C4⋊Dic43C2414yes—
748Dic43⋊C4C2414yes—
749Dic43⋊C4C2414yes—
750Dic43⋊C4C2414yes—
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—
772C4×Dic43C2414yes—
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×C43—22no—
787C23×C43—22no—
788C23×C43—22no—
789C23×C43C2512yes—
790C23×C43C2512yes—
791C23×C43C2512yes—
792C23×C43C2511yescharacteristic
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—22no—
803C22×D43—28no—
804C22×D43—28no—
805C22×D43—28no—
806C22×D43—44no—
807C22×D43—416no—
808C22×D43—44no—
809C22×D43—44no—
810C22×D43—88no—
811C22×D43H(5,𝔽2)14yes—
812C22×D432−1+414yes—
813C22×D43C2512yes—
814C22×D43C2512yes—
815C22×D43C2512yes—
816C22×D43C2512yes—
817Q8×C43—44no—
818D4×C43—44no—
819D4×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—44no—
834C2×C4×C43—44no—
835C2×C4×C43—44no—
836C2×C4×C43—44no—
837C2×C4×C43—44no—
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—
849C2×C4×C43C2512yes—
850C22⋊D43—28no—
851C22⋊D43—28no—
852C22⋊D43—28no—
853C22⋊D43—44no—
854C22⋊D43—44no—
855C22⋊D43—44no—
856C22⋊D43—44no—
857C22⋊D43—44no—
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—22no—
867C2×Dic43—22no—
868C2×Dic43—22no—
869C2×Dic43—22no—
870C2×Dic43—44no—
871C2×Dic43—44no—
872C2×Dic43C2512yes—
873C2×Dic43C2512yes—
874C2×Dic43C2512yes—
875C2×Dic43C2512yes—
876C2×Dic43C2512yes—
877C2×Dic43C2512yes—
878C2×Dic43C2512yes—
879C2×Dic43C2512yes—
880C2×Dic43C2512yes—
881C2×Dic43C2512yes—
882C2×Dic43C2512yes—
883C2×Dic43C2512yes—
884D172—28no—
885D172—28no—
886D172—28no—
887D172—44no—
888C4×D43—28no—
889C4×D43—28no—
890C4×D43—28no—
891C4×D43—28no—
892C4×D43—28no—
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—
904Dic86—44no—
905Dic86—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—22no—
920C22×C43—22no—
921C22×C43—22no—
922C22×C43—44no—
923C22×C43—44no—
924C22×C43—44no—
925C22×C43C2×H(5,𝔽2)12yes—
926C22×C43C2×2−1+412yes—
927C22×C43#58512yes—
928C22×C43C2611yescharacteristic
929C2×D43—22no—
930C2×D43—22no—
931C2×D43—22no—
932C2×D43—22no—
933C2×D43—28no—
934C2×D43—28no—
935C2×D43—22no—
936C2×D43—22no—
937C2×D43—22no—
938C2×D43—22no—
939C2×D43—22no—
940C2×D43—22no—
941C2×D43—416no—
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—
959Dic43—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×#563—431no—
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×#539D4311yescharacteristic, complemented
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—42no—
1006C2×C43#353514yescomplemented
1007C2×C43C22×H(5,𝔽2)11yescharacteristic
1008C2×C43C22×2−1+411yescharacteristic
1009C2×C43C2×#58511yescharacteristic
1010D43—24no—
1011D43—24no—
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#563—4316no—
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#539C2×D43116yescomplemented
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⋊Q8—431no—
1053C2×C4⋊Q8—431no—
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×#126—431no—
1063C2×#126—431no—
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×#124—431no—
1084#525—4316no—
1085C2×#123—431no—
1086C2×#123—431no—
1087C2×#123—431no—
1088C2×#123—431no—
1089C2×#123—431no—
1090C2×#123—4316no—
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×#123C2×D4311yescharacteristic
1111C2×#123C2×D4311yescharacteristic
1112C2×#123C2×D4311yescharacteristic, complemented
1113C2×#123C2×D4311yescharacteristic, complemented
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—431no—
1123C2×C22⋊Q8—4316no—
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⋊Q8—431no—
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×#121C2×D4311yescharacteristic
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×D4C2×D4311yescharacteristic, complemented
1178C2×C4×D4C2×D4311yescharacteristic, complemented
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⋊C4C2×D4311yescharacteristic, complemented
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—431no—
1217C22×Q8—431no—
1218C22×Q8—1724no—
1219C22×Q8C22×D4311yescharacteristic
1220C22×D4—431no—
1221C22×D4—431no—
1222C22×D4—431no—
1223C22×D4—431no—
1224C22×D4—431no—
1225C22×D4—431no—
1226C22×D4—431no—
1227C22×D4—431no—
1228C22×D4—438no—
1229C22×D4—431no—
1230C22×D4—431no—
1231C22×D4—431no—
1232C22×D4—431no—
1233C22×D4—1724no—
1234C22×D4C22×D4311yescharacteristic
1235C22×D4C22×D4311yescharacteristic
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—438no—
1256C23×C4—1724no—
1257C23×C4C22×D4311yescharacteristic
1258C23×C4C22×D4311yescharacteristic
1259C23×C4C22×D4311yescharacteristic
1260C23×C4C22×D4311yescharacteristic
1261C23×C4C22×D4311yescharacteristic
1262C4⋊Q8—438no—
1263C4⋊Q8—438no—
1264C4⋊Q8—438no—
1265C4⋊Q8—438no—
1266C4⋊Q8—438no—
1267C4⋊Q8—438no—
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#126—438no—
1277#126—438no—
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#124—438no—
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#123C22×D4318yes—
1323#123C22×D4318yes—
1324#123C22×D4318yescomplemented
1325#123C22×D4318yescomplemented
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⋊Q8—438no—
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#121C22×D4318yes—
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×D4C22×D4318yescomplemented
1389C4×D4C22×D4318yescomplemented
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—431no—
1432C2×C4⋊C4—431no—
1433C2×C4⋊C4—438no—
1434C2×C4⋊C4—438no—
1435C2×C4⋊C4—438no—
1436C2×C4⋊C4—438no—
1437C2×C4⋊C4—438no—
1438C2×C4⋊C4—438no—
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×D4318yescomplemented
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—431no—
1475C2×C22⋊C4—431no—
1476C2×C22⋊C4—431no—
1477C2×C22⋊C4—431no—
1478C2×C22⋊C4—431no—
1479C2×C22⋊C4—431no—
1480C2×C22⋊C4—438no—
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×C42—431no—
1515C2×C42C22×D4311yescharacteristic
1516C2×C42C22×D4311yescharacteristic
1517C24—431no—
1518C24—431no—
1519C24—431no—
1520C24—431no—
1521C24—434no—
1522C24—434no—
1523C24—864no—
1524C24—864no—
1525C24—864no—
1526C24—1722no—
1527C24—1722no—
1528C24—1722no—
1529C24C23×D4311yescharacteristic
1530C24C23×D4311yescharacteristic
1531C24C23×D4311yescharacteristic
1532#41—17216no—
1533#41—17216no—
1534#41—17216no—
1535C2×Q8—42no—
1536C2×Q8—434no—
1537C2×Q8—434no—
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—1722no—
1551C2×Q8—1722no—
1552C2×Q8—17216no—
1553C2×Q8C23×D4314yes—
1554C2×D4—42no—
1555C2×D4—42no—
1556C2×D4—42no—
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—17216no—
1582C2×D4C23×D4314yes—
1583C2×D4C23×D4314yes—
1584C2×D4C23×D4314yes—
1585C22×C4—42no—
1586C22×C4—42no—
1587C22×C4—42no—
1588C22×C4—42no—
1589C22×C4—42no—
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—431no—
1599C22×C4—431no—
1600C22×C4—431no—
1601C22×C4—431no—
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—434no—
1620C22×C4—864no—
1621C22×C4—864no—
1622C22×C4—864no—
1623C22×C4—864no—
1624C22×C4—864no—
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—17216no—
1637C22×C4—1722no—
1638C22×C4—1722no—
1639C22×C4C23×D4311yescharacteristic
1640C22×C4C23×D4311yescharacteristic
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×D4314yes—
1652C22×C4C23×D4314yes—
1653C22×C4C23×D4314yes—
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⋊C4—434no—
1691C4⋊C4—434no—
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—
1759C42—434no—
1760C42C23×D4314yes—
1761C42C23×D4314yes—
1762C23—22no—
1763C23—22no—
1764C23—22no—
1765C23—22no—
1766C23—22no—
1767C23—22no—
1768C23—22no—
1769C23—22no—
1770C23—22no—
1771C23—434no—
1772C23—434no—
1773C23—432no—
1774C23—432no—
1775C23—432no—
1776C23—432no—
1777C23—868no—
1778C23—868no—
1779C23—868no—
1780C23—862no—
1781C23—862no—
1782C23—862no—
1783C23—862no—
1784C23—862no—
1785C23—862no—
1786C23—862no—
1787C23—862no—
1788C23—862no—
1789C23—862no—
1790C23—3448no—
1791C23—1724no—
1792C23—1724no—
1793C23—1724no—
1794C23—17216no—
1795C23C24×D4312yes—
1796C23C24×D4312yes—
1797C23C24×D4312yes—
1798C23C24×D4311yescharacteristic
1799Q8—44no—
1800Q8—1724no—
1801Q8—1724no—
1802Q8—1724no—
1803Q8—1724no—
1804Q8—1724no—
1805Q8—1724no—
1806Q8—1724no—
1807Q8—1724no—
1808D4—44no—
1809D4—44no—
1810D4—44no—
1811D4—868no—
1812D4—868no—
1813D4—868no—
1814D4—868no—
1815D4—868no—
1816D4—868no—
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—44no—
1836C2×C4—44no—
1837C2×C4—44no—
1838C2×C4—44no—
1839C2×C4—44no—
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—432no—
1850C2×C4—432no—
1851C2×C4—432no—
1852C2×C4—868no—
1853C2×C4—868no—
1854C2×C4—868no—
1855C2×C4—868no—
1856C2×C4—868no—
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—862no—
1866C2×C4—862no—
1867C2×C4—862no—
1868C2×C4—862no—
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×C4—1724no—
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—22no—
1901C22—22no—
1902C22—22no—
1903C22—44no—
1904C22—44no—
1905C22—44no—
1906C22—434no—
1907C22—434no—
1908C22—868no—
1909C22—868no—
1910C22—862no—
1911C22—862no—
1912C22—862no—
1913C22—862no—
1914C22—862no—
1915C22—862no—
1916C22—862no—
1917C22—862no—
1918C22—862no—
1919C22—862no—
1920C22—3448no—
1921C22—17216no—
1922C22—1724no—
1923C22—1724no—
1924C22H(5,𝔽2)×D4312yes—
1925C222−1+4×D4312yes—
1926C22#1458373512yes—
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—862no—
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—42no—
1955C2—864no—
1956C2—864no—
1957C2—1722no—
1958C2—1722no—
1959C2#1914880314yesdirect product factor
1960C2C2×H(5,𝔽2)×D4311yescharacteristic
1961C2C2×2−1+4×D4311yescharacteristic
1962C2C2×#1458373511yescharacteristic
subgroupG/H
centerC23C24×D43
commutator, cosocleC22×C43C26
FrattiniC22C25×D43
FittingC2×C43×#539C2
socleC23×C43C25
hypercenterC2×#539D43
hypocenterC43C2×#3535
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×#539

Complements

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

NH ≅ G/Ntype
1. #19148803C2direct (N × H)
2. C2×#14583652C2semidirect
3. C2×#14583651C2semidirect
4. C2×#14583646C2semidirect
5. C2×#14583644C2semidirect
6. C2×#14583605C2semidirect
7. C2×#14583604C2semidirect
8. C2×#14583585C2semidirect
9. C2×#14583581C2semidirect
10. C2×#14583578C2semidirect
11. C2×#14583577C2semidirect
12. C2×#14583574C2semidirect
13. C2×#14583574C2semidirect
14. C2×#14583554C2semidirect
15. C2×#14583550C2semidirect
16. C2×#14583546C2semidirect
17. C2×#14583541C2semidirect
18. C2×#14583529C2semidirect
19. C2×#14583524C2semidirect
20. C2×#14583517C2semidirect
21. C2×#14583514C2semidirect
22. C2×#14583497C2semidirect
23. C2×#14583495C2semidirect
24. C2×#14583495C2semidirect
25. C2×#14583492C2semidirect
26. C2×#14583485C2semidirect
27. C2×#14583472C2semidirect
28. C2×#14583472C2semidirect
29. C2×#14583408C2semidirect
30. C2×#123×D43C2semidirect
31. C2×C22⋊Q8×D43C2semidirect
32. C2×C43×#539C2semidirect
35. C22×#10621898C22semidirect
36. C22×Q8×D43C22semidirect
39. #14583652C22semidirect
40. #14583651C22semidirect
41. #14583646C22semidirect
42. #14583644C22semidirect
43. #14583605C22semidirect
44. #14583604C22semidirect
45. #14583585C22semidirect
46. #14583581C22semidirect
47. #14583578C22semidirect
48. #14583577C22semidirect
49. #14583574C22semidirect
50. #14583574C22semidirect
51. #14583554C22semidirect
52. #14583550C22semidirect
53. #14583546C22semidirect
54. #14583541C22semidirect
55. #14583529C22semidirect
56. #14583524C22semidirect
57. #14583517C22semidirect
58. #14583514C22semidirect
59. #14583497C22semidirect
60. #14583495C22semidirect
61. #14583495C22semidirect
62. #14583492C22semidirect
63. #14583485C22semidirect
64. #14583472C22semidirect
65. #14583472C22semidirect
66. C2×#13063325C22semidirect
67. C2×#13063324C22semidirect
68. C2×#13063324C22semidirect
69. C2×#13063324C22semidirect
70. C2×#13063324C22semidirect
71. C2×#13063324C22semidirect
72. C2×#13063320C22semidirect
73. C2×#13063320C22semidirect
74. C2×#13063320C22semidirect
75. C2×#13063319C22semidirect
76. C2×#13063318C22semidirect
77. C2×#13063318C22semidirect
78. C2×#13063318C22semidirect
79. C2×#13063318C22semidirect
80. C2×#13063318C22semidirect
81. C2×#13063318C22semidirect
82. C2×#13063316C22semidirect
83. C2×#13063316C22semidirect
84. C2×#13063315C22semidirect
85. C2×#13063315C22semidirect
86. C2×#13063315C22semidirect
87. C2×#13063315C22semidirect
88. C2×#13063315C22semidirect
89. C2×#13063315C22semidirect
91. C2×#13063312C22semidirect
93. C2×#13063311C22semidirect
94. C2×#13063311C22semidirect
95. C2×#13063311C22semidirect
96. C2×#13063311C22semidirect
97. C2×#13063311C22semidirect
98. #14583408C22semidirect
103. C2×#13063310C22semidirect
104. C2×#13063310C22semidirect
105. C2×#13063310C22semidirect
106. C2×#13063310C22semidirect
109. C2×#13063308C22semidirect
110. C2×#13063308C22semidirect
116. C2×#13063307C22semidirect
117. C2×#13063307C22semidirect
118. C2×#13063307C22semidirect
119. C2×#13063307C22semidirect
120. C2×#13063307C22semidirect
122. C2×#13063306C22semidirect
123. #123×D43C22semidirect
127. C2×#13063305C22semidirect
128. C2×#13063305C22semidirect
129. C2×#13063305C22semidirect
130. C2×#13063304C22semidirect
131. C2×#13063304C22semidirect
132. C2×#13063304C22semidirect
133. C2×#13063304C22semidirect
134. C2×#13063304C22semidirect
135. C2×#13063304C22semidirect
141. C2×#13063303C22semidirect
142. C2×#13063303C22semidirect
143. C2×#13063303C22semidirect
144. C2×#13063303C22semidirect
145. C2×#13063303C22semidirect
146. C2×#13063303C22semidirect
147. C2×#13063302C22semidirect
148. C2×#13063302C22semidirect
149. C2×#13063302C22semidirect
150. C2×#13063302C22semidirect
151. C2×#13063302C22semidirect
153. C2×#13063301C22semidirect
154. C2×#13063301C22semidirect
155. C22⋊Q8×D43C22semidirect
157. C2×#13063299C22semidirect
161. C2×#13063297C22semidirect
164. C2×#13063296C22semidirect
169. C2×C4×Dic86C22semidirect
170. C2×#13063290C22semidirect
172. C2×C4×D172C22semidirect
176. C2×#13063287C22semidirect
180. C2×C4×C22⋊D43C22semidirect
181. C2×C4×C22⋊D43C22semidirect
184. C2×#13063283C22semidirect
185. C2×#13063283C22semidirect
187. C2×#13063282C22semidirect
188. C2×#13063282C22semidirect
189. C2×#13063281C22semidirect
192. C2×C4⋊C4×D43C22semidirect
193. C2×C4⋊C4×D43C22semidirect
194. C2×C4⋊C4×D43C22semidirect
195. C2×C4⋊C4×D43C22semidirect
203. C43×#539C22semidirect
204. C2×#126×C43C22semidirect
205. C2×#126×C43C22semidirect
206. C2×#125×C43C22semidirect
207. C2×#125×C43C22semidirect
210. C2×#123×C43C22semidirect
211. C2×#123×C43C22semidirect
212. C2×C22⋊Q8×C43C22semidirect
213. C2×C22⋊Q8×C43C22semidirect
214. C2×C22⋊Q8×C43C22semidirect
216. C2×C4×D4×C43C22semidirect
217. C2×C4×D4×C43C22semidirect
218. C22×C4⋊C4×C43C22semidirect
226. C2×#10621898C23semidirect
236. C2×Q8×D43C23semidirect
271. #13063325C23semidirect
272. #13063324C23semidirect
273. #13063324C23semidirect
274. #13063324C23semidirect
275. #13063324C23semidirect
276. #13063324C23semidirect
277. #13063320C23semidirect
278. #13063320C23semidirect
279. #13063320C23semidirect
280. #13063319C23semidirect
281. #13063318C23semidirect
282. #13063318C23semidirect
283. #13063318C23semidirect
284. #13063318C23semidirect
285. #13063318C23semidirect
286. #13063318C23semidirect
287. #13063316C23semidirect
288. #13063316C23semidirect
289. #13063315C23semidirect
290. #13063315C23semidirect
291. #13063315C23semidirect
292. #13063315C23semidirect
293. #13063315C23semidirect
294. #13063315C23semidirect
296. #13063312C23semidirect
298. #13063311C23semidirect
299. #13063311C23semidirect
300. #13063311C23semidirect
301. #13063311C23semidirect
302. #13063311C23semidirect
307. #13063310C23semidirect
308. #13063310C23semidirect
309. #13063310C23semidirect
310. #13063310C23semidirect
313. #13063308C23semidirect
314. #13063308C23semidirect
320. #13063307C23semidirect
321. #13063307C23semidirect
322. #13063307C23semidirect
323. #13063307C23semidirect
324. #13063307C23semidirect
326. #13063306C23semidirect
330. #13063305C23semidirect
331. #13063305C23semidirect
332. #13063305C23semidirect
333. #13063304C23semidirect
334. #13063304C23semidirect
335. #13063304C23semidirect
336. #13063304C23semidirect
337. #13063304C23semidirect
338. #13063304C23semidirect
344. #13063303C23semidirect
345. #13063303C23semidirect
346. #13063303C23semidirect
347. #13063303C23semidirect
348. #13063303C23semidirect
349. #13063303C23semidirect
350. #13063302C23semidirect
351. #13063302C23semidirect
352. #13063302C23semidirect
353. #13063302C23semidirect
354. #13063302C23semidirect
356. #13063301C23semidirect
357. #13063301C23semidirect
359. #13063299C23semidirect
363. #13063297C23semidirect
366. #13063296C23semidirect
371. C4×Dic86C23semidirect
372. #13063290C23semidirect
374. C4×D172C23semidirect
378. #13063287C23semidirect
382. C4×C22⋊D43C23semidirect
383. C4×C22⋊D43C23semidirect
386. #13063283C23semidirect
387. #13063283C23semidirect
389. #13063282C23semidirect
390. #13063282C23semidirect
391. #13063281C23semidirect
430. C4⋊C4×D43C23semidirect
431. C4⋊C4×D43C23semidirect
432. C4⋊C4×D43C23semidirect
433. C4⋊C4×D43C23semidirect
494. #126×C43C23semidirect
495. #126×C43C23semidirect
496. #125×C43C23semidirect
497. #125×C43C23semidirect
500. #123×C43C23semidirect
501. #123×C43C23semidirect
502. C22⋊Q8×C43C23semidirect
503. C22⋊Q8×C43C23semidirect
504. C22⋊Q8×C43C23semidirect
506. C4×D4×C43C23semidirect
507. C4×D4×C43C23semidirect
522. C2×C4⋊C4×C43C23semidirect
996. C2×#539D43semidirect
1006. C2×C43#3535semidirect
1044. #539C2×D43semidirect
1064. C2×#126C2×D43semidirect
1065. C2×#126C2×D43semidirect
1074. C2×#125C2×D43semidirect
1075. C2×#125C2×D43semidirect
1112. C2×#123C2×D43semidirect
1113. C2×#123C2×D43semidirect
1146. C2×C22⋊Q8C2×D43semidirect
1147. C2×C22⋊Q8C2×D43semidirect
1148. C2×C22⋊Q8C2×D43semidirect
1177. C2×C4×D4C2×D43semidirect
1178. C2×C4×D4C2×D43semidirect
1192. C22×C4⋊C4C2×D43semidirect
1200. C43C2×#3535semidirect
1278. #126C22×D43semidirect
1279. #126C22×D43semidirect
1288. #125C22×D43semidirect
1289. #125C22×D43semidirect
1324. #123C22×D43semidirect
1325. #123C22×D43semidirect
1357. C22⋊Q8C22×D43semidirect
1358. C22⋊Q8C22×D43semidirect
1359. C22⋊Q8C22×D43semidirect
1388. C4×D4C22×D43semidirect
1389. C4×D4C22×D43semidirect
1453. C2×C4⋊C4C22×D43semidirect
1959. C2#19148803direct (N × H)

Maximal subgroups

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

subgroupindex
#191488032
C2×#145836522
C2×#145836512
C2×#145836462
C2×#145836442
C2×#145836052
C2×#145836042
C2×#145835852
C2×#145835812
C2×#145835782
C2×#145835772
C2×#145835742
C2×#145835542
C2×#145835502
C2×#145835462
C2×#145835412
C2×#145835292
C2×#145835242
C2×#145835172
C2×#145835142
C2×#145834972
C2×#145834952
C2×#145834922
C2×#145834852
C2×#145834722
C2×#145834082
C2×#123×D432
C2×C22⋊Q8×D432
C2×C43×#5392
C2×#353543