Finite Group Databasebeta

← C2×#19148799 #26003802

Subgroups — C2×#19148799 #26003802

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#19148799C2132yesmaximal, direct product factor
2C2×#14583653C211yesmaximal, characteristic, complemented
3C2×#14583648C211yesmaximal, characteristic, complemented
4C2×#14583645C211yesmaximal, characteristic, complemented
5C2×#14583645C211yesmaximal, characteristic, complemented
6C2×#14583604C211yesmaximal, characteristic, complemented
7C2×#14583590C211yesmaximal, characteristic, complemented
8C2×#14583581C211yesmaximal, characteristic, complemented
9C2×#14583578C211yesmaximal, characteristic, complemented
10C2×#14583578C211yesmaximal, characteristic, complemented
11C2×#14583576C211yesmaximal, characteristic, complemented
12C2×#14583576C211yesmaximal, characteristic, complemented
13C2×#14583551C211yesmaximal, characteristic, complemented
14C2×#14583550C211yesmaximal, characteristic, complemented
15C2×#14583545C211yesmaximal, characteristic, complemented
16C2×#14583540C211yesmaximal, characteristic, complemented
17C2×#14583528C211yesmaximal, characteristic, complemented
18C2×#14583524C211yesmaximal, characteristic, complemented
19C2×#14583521C211yesmaximal, characteristic, complemented
20C2×#14583519C211yesmaximal, characteristic, complemented
21C2×#14583497C211yesmaximal, characteristic, complemented
22C2×#14583497C211yesmaximal, characteristic, complemented
23C2×#14583496C211yesmaximal, characteristic, complemented
24C2×#14583495C211yesmaximal, characteristic, complemented
25C2×#14583491C211yesmaximal, characteristic, complemented
26C2×#14583482C211yesmaximal, characteristic, complemented
27C2×#14583474C211yesmaximal, characteristic, complemented
28C2×#14583472C211yesmaximal, characteristic, complemented
29C2×#14583408C211yesmaximal, characteristic, complemented
30C22×#13063310C211yesmaximal, characteristic, complemented
31C2×C22⋊Q8×D43C211yesmaximal, characteristic, complemented
32C2×C43×#554C211yesmaximal, characteristic, complemented
33C22×#10621902C2211yescharacteristic
34C22×#10621898C2211yescharacteristic
35C22×#10621898C2211yescharacteristic, complemented
36C22×Q8×D43C2211yescharacteristic, complemented
37C23×D172C2211yescharacteristic
38C23×C4×D43C2211yescharacteristic
39#14583653C22116yescomplemented
40#14583648C22116yescomplemented
41#14583645C22116yescomplemented
42#14583645C22116yescomplemented
43#14583604C22116yescomplemented
44#14583590C22116yescomplemented
45#14583581C22116yescomplemented
46#14583578C22116yescomplemented
47#14583578C22116yescomplemented
48#14583576C22116yescomplemented
49#14583576C22116yescomplemented
50#14583551C22116yescomplemented
51#14583550C22116yescomplemented
52#14583545C22116yescomplemented
53#14583540C22116yescomplemented
54#14583528C22116yescomplemented
55#14583524C22116yescomplemented
56#14583521C22116yescomplemented
57#14583519C22116yescomplemented
58#14583497C22116yescomplemented
59#14583497C22116yescomplemented
60#14583496C22116yescomplemented
61#14583495C22116yescomplemented
62#14583491C22116yescomplemented
63#14583482C22116yescomplemented
64#14583474C22116yescomplemented
65#14583472C22116yescomplemented
66C2×#13063324C2211yescharacteristic, complemented
67C2×#13063324C2211yescharacteristic, complemented
68C2×#13063324C2211yescharacteristic, complemented
69C2×#13063323C2211yescharacteristic, complemented
70C2×#13063323C2211yescharacteristic, complemented
71C2×#13063320C2211yescharacteristic, complemented
72C2×#13063320C2211yescharacteristic, complemented
73C2×#13063320C2211yescharacteristic, complemented
74C2×#13063320C2211yescharacteristic, complemented
75C2×#13063320C2211yescharacteristic, complemented
76C2×#13063320C2211yescharacteristic, complemented
77C2×#13063320C2211yescharacteristic, complemented
78C2×#13063319C2211yescharacteristic, complemented
79C2×#13063319C2211yescharacteristic, complemented
80C2×#13063319C2211yescharacteristic, complemented
81C2×#13063319C2211yescharacteristic, complemented
82C2×#13063318C2211yescharacteristic, complemented
83C2×#13063317C2211yescharacteristic, complemented
84C2×#13063315C2211yescharacteristic, complemented
85C2×#13063315C2211yescharacteristic, complemented
86C2×#13063315C2211yescharacteristic, complemented
87C2×#13063315C2211yescharacteristic, complemented
88C2×#13063315C2211yescharacteristic, complemented
89C2×#13063315C2211yescharacteristic, complemented
90C2×#13063315C2211yescharacteristic, complemented
91C2×#13063314C2211yescharacteristic
92C2×#13063314C2211yescharacteristic, complemented
93C2×#13063314C2211yescharacteristic, complemented
94C2×#13063313C2211yescharacteristic
95C2×#13063313C2211yescharacteristic, complemented
96C2×#13063311C2211yescharacteristic, complemented
97C2×#13063311C2211yescharacteristic, complemented
98C2×#13063311C2211yescharacteristic, complemented
99#14583408C22116yescomplemented
100C2×#13063310C2211yescharacteristic
101C2×#13063310C2211yescharacteristic
102C2×#13063310C2211yescharacteristic
103C2×#13063310C2211yescharacteristic
104C2×#13063310C2211yescharacteristic
105C2×#13063310C2211yescharacteristic
106C2×#13063310C2211yescharacteristic
107C2×#13063310C2211yescharacteristic
108C2×#13063310C2211yescharacteristic
109C2×#13063310C2211yescharacteristic
110C2×#13063310C2211yescharacteristic
111C2×#13063310C2211yescharacteristic
112C2×#13063310C22116yescomplemented
113C2×#13063310C2211yescharacteristic, complemented
114C2×#13063310C2211yescharacteristic, complemented
115C2×#13063310C2211yescharacteristic, complemented
116C2×#13063310C2211yescharacteristic, complemented
117C2×#13063310C2211yescharacteristic, complemented
118C2×#13063310C2211yescharacteristic, complemented
119C2×#13063309C2211yescharacteristic
120C2×#13063308C2211yescharacteristic, complemented
121C2×#13063308C2211yescharacteristic, complemented
122C2×#13063308C2211yescharacteristic, complemented
123C2×#13063308C2211yescharacteristic, complemented
124C2×#13063307C2211yescharacteristic, complemented
125C2×#13063307C2211yescharacteristic, complemented
126C2×#13063307C2211yescharacteristic, complemented
127C2×#13063307C2211yescharacteristic, complemented
128C2×#13063306C2211yescharacteristic
129C2×#13063305C2211yescharacteristic, complemented
130C2×#13063305C2211yescharacteristic, complemented
131C2×#13063305C2211yescharacteristic, complemented
132C2×#13063305C2211yescharacteristic, complemented
133C2×#13063304C2211yescharacteristic
134C2×#13063304C2211yescharacteristic
135C2×#13063304C2211yescharacteristic
136C2×#13063304C2211yescharacteristic, complemented
137C2×#13063303C2211yescharacteristic, complemented
138C2×#13063303C2211yescharacteristic, complemented
139C2×#13063303C2211yescharacteristic, complemented
140C2×#13063303C2211yescharacteristic, complemented
141C2×#13063303C2211yescharacteristic, complemented
142C2×#13063303C2211yescharacteristic, complemented
143C2×#13063303C2211yescharacteristic, complemented
144C2×#13063303C2211yescharacteristic, complemented
145C2×#13063303C2211yescharacteristic, complemented
146C2×#13063303C2211yescharacteristic, complemented
147C2×#13063303C2211yescharacteristic, complemented
148C2×#13063303C2211yescharacteristic, complemented
149C2×#13063302C2211yescharacteristic
150C2×#13063302C2211yescharacteristic
151C2×#13063302C2211yescharacteristic
152C2×#13063301C2211yescharacteristic, complemented
153C2×#13063301C2211yescharacteristic, complemented
154C2×#13063301C2211yescharacteristic, complemented
155C2×#13063301C2211yescharacteristic, complemented
156C2×#13063301C2211yescharacteristic, complemented
157C22⋊Q8×D43C22116yescomplemented
158C2×#13063300C2211yescharacteristic
159C2×#13063300C2211yescharacteristic
160C2×#13063300C2211yescharacteristic
161C2×#13063299C2211yescharacteristic
162C2×#13063299C2211yescharacteristic, complemented
163C2×#13063298C2211yescharacteristic
164C2×#13063298C2211yescharacteristic
165C2×#13063298C2211yescharacteristic, complemented
166C2×#13063298C2211yescharacteristic, complemented
167C2×#13063297C2211yescharacteristic
168C2×#13063295C2211yescharacteristic
169C2×#13063295C2211yescharacteristic
170C2×#13063293C2211yescharacteristic
171C2×#13063293C2211yescharacteristic
172C2×#13063290C2211yescharacteristic, complemented
173C2×C4×D172C2211yescharacteristic
174C2×C4×D172C2211yescharacteristic, complemented
175C2×#13063287C2211yescharacteristic
176C2×#13063287C2211yescharacteristic, complemented
177C2×#13063287C2211yescharacteristic, complemented
178C2×C4×C22⋊D43C2211yescharacteristic
179C2×C4×C22⋊D43C2211yescharacteristic
180C2×C4×C22⋊D43C2211yescharacteristic
181C2×C4×C22⋊D43C2211yescharacteristic, complemented
182C2×C4×C22⋊D43C2211yescharacteristic, complemented
183C2×C4×C22⋊D43C2211yescharacteristic, complemented
184C2×#13063283C2211yescharacteristic, complemented
185C2×#13063283C2211yescharacteristic, complemented
186C2×#13063282C2211yescharacteristic, complemented
187C2×#13063282C2211yescharacteristic, complemented
188C2×#13063282C2211yescharacteristic, complemented
189C2×#13063281C2211yescharacteristic
190C2×#13063281C2211yescharacteristic
191C22×Dic43⋊C4C2211yescharacteristic
192C2×C4⋊C4×D43C2211yescharacteristic, complemented
193C2×C4⋊C4×D43C2211yescharacteristic, complemented
194C2×C4⋊C4×D43C2211yescharacteristic, complemented
195C2×C4⋊C4×D43C2211yescharacteristic, complemented
196C22×(C2×D43)⋊C4C2211yescharacteristic
197C22×(C2×D43)⋊C4C2211yescharacteristic
198C22×(C2×D43)⋊C4C2211yescharacteristic
199C2×C22⋊C4×D43C2211yescharacteristic
200C2×C22⋊C4×D43C2211yescharacteristic
201C2×C22⋊C4×D43C2211yescharacteristic
202C2×C22⋊C4×D43C2211yescharacteristic
203C43×#554C22116yescomplemented
204C2×C4⋊Q8×C43C2211yescharacteristic, complemented
205C2×#125×C43C2211yescharacteristic, complemented
206C2×#125×C43C2211yescharacteristic, complemented
207C2×C22⋊Q8×C43C2211yescharacteristic
208C2×C22⋊Q8×C43C2211yescharacteristic
209C2×C22⋊Q8×C43C2211yescharacteristic
210C2×C22⋊Q8×C43C2211yescharacteristic, complemented
211C2×C22⋊Q8×C43C2211yescharacteristic, complemented
212C2×C22⋊Q8×C43C2211yescharacteristic, complemented
213C2×C4×Q8×C43C2211yescharacteristic, complemented
214C2×C4×D4×C43C2211yescharacteristic
215C2×C4×D4×C43C2211yescharacteristic
216C2×C4×D4×C43C2211yescharacteristic
217C22×C4⋊C4×C43C2211yescharacteristic
218C22×C4⋊C4×C43C2211yescharacteristic, complemented
219C24×D43C2311yescharacteristic
220C24×D43C2311yescharacteristic
221C2×#10621902—44no—
222C2×#10621902C2318yes—
223C2×#10621898—44no—
224C2×#10621898—44no—
225C2×#10621898C2318yes—
226C2×#10621898C2318yescomplemented
227C22×Dic86C2311yescharacteristic
228C22×Dic86C2311yescharacteristic
229C22×Dic86C2311yescharacteristic
230C22×Dic86C2311yescharacteristic
231C22×Dic86C2311yescharacteristic
232C22×Dic86C2311yescharacteristic
233C2×Q8×D43—44no—
234C2×Q8×D43C2318yescomplemented
235C22×D172—44no—
236C22×D172C2311yescharacteristic
237C22×D172C2311yescharacteristic
238C22×D172C2311yescharacteristic
239C22×D172C2311yescharacteristic
240C22×D172C2311yescharacteristic
241C22×D172C2311yescharacteristic
242C22×D172C2311yescharacteristic
243C22×D172C2311yescharacteristic
244C22×D172C2318yes—
245C22×C22⋊D43C2311yescharacteristic
246C22×C22⋊D43C2311yescharacteristic
247C22×C22⋊D43C2311yescharacteristic
248C22×C22⋊D43C2311yescharacteristic
249C22×C22⋊D43C2311yescharacteristic
250C22×C22⋊D43C2311yescharacteristic
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×D43C2318yes—
270#13063324C2318yescomplemented
271#13063324C2318yescomplemented
272#13063324C2318yescomplemented
273#13063323C2318yescomplemented
274#13063323C2318yescomplemented
275#13063320C2318yescomplemented
276#13063320C2318yescomplemented
277#13063320C2318yescomplemented
278#13063320C2318yescomplemented
279#13063320C2318yescomplemented
280#13063320C2318yescomplemented
281#13063320C2318yescomplemented
282#13063319C2318yescomplemented
283#13063319C2318yescomplemented
284#13063319C2318yescomplemented
285#13063319C2318yescomplemented
286#13063318C2318yescomplemented
287#13063317C2318yescomplemented
288#13063315C2318yescomplemented
289#13063315C2318yescomplemented
290#13063315C2318yescomplemented
291#13063315C2318yescomplemented
292#13063315C2318yescomplemented
293#13063315C2318yescomplemented
294#13063315C2318yescomplemented
295#13063314C2318yes—
296#13063314C2318yescomplemented
297#13063314C2318yescomplemented
298#13063313C2318yes—
299#13063313C2318yescomplemented
300#13063311C2318yescomplemented
301#13063311C2318yescomplemented
302#13063311C2318yescomplemented
303#13063310C2318yes—
304#13063310C2318yes—
305#13063310C2318yes—
306#13063310C2318yes—
307#13063310C2318yes—
308#13063310C2318yes—
309#13063310C2318yes—
310#13063310C2318yes—
311#13063310C2318yes—
312#13063310C2318yes—
313#13063310C2318yes—
314#13063310C2318yes—
315#13063310C2318yescomplemented
316#13063310C2318yescomplemented
317#13063310C2318yescomplemented
318#13063310C2318yescomplemented
319#13063310C2318yescomplemented
320#13063310C2318yescomplemented
321#13063309C2318yes—
322#13063308C2318yescomplemented
323#13063308C2318yescomplemented
324#13063308C2318yescomplemented
325#13063308C2318yescomplemented
326#13063307C2318yescomplemented
327#13063307C2318yescomplemented
328#13063307C2318yescomplemented
329#13063307C2318yescomplemented
330#13063306C2318yes—
331#13063305C2318yescomplemented
332#13063305C2318yescomplemented
333#13063305C2318yescomplemented
334#13063305C2318yescomplemented
335#13063304C2318yes—
336#13063304C2318yes—
337#13063304C2318yes—
338#13063304C2318yescomplemented
339#13063303C2318yescomplemented
340#13063303C2318yescomplemented
341#13063303C2318yescomplemented
342#13063303C2318yescomplemented
343#13063303C2318yescomplemented
344#13063303C2318yescomplemented
345#13063303C2318yescomplemented
346#13063303C2318yescomplemented
347#13063303C2318yescomplemented
348#13063303C2318yescomplemented
349#13063303C2318yescomplemented
350#13063303C2318yescomplemented
351#13063302C2318yes—
352#13063302C2318yes—
353#13063302C2318yes—
354#13063301C2318yescomplemented
355#13063301C2318yescomplemented
356#13063301C2318yescomplemented
357#13063301C2318yescomplemented
358#13063301C2318yescomplemented
359#13063300C2318yes—
360#13063300C2318yes—
361#13063300C2318yes—
362#13063299C2318yes—
363#13063299C2318yescomplemented
364#13063298C2318yes—
365#13063298C2318yes—
366#13063298C2318yescomplemented
367#13063298C2318yescomplemented
368#13063297C2318yes—
369#13063295C2318yes—
370#13063295C2318yes—
371#13063293C2318yes—
372#13063293C2318yes—
373#13063290C2318yescomplemented
374C4×D172C2318yes—
375C4×D172C2318yescomplemented
376#13063287C2318yes—
377#13063287C2318yescomplemented
378#13063287C2318yescomplemented
379C4×C22⋊D43C2318yes—
380C4×C22⋊D43C2318yes—
381C4×C22⋊D43C2318yes—
382C4×C22⋊D43C2318yescomplemented
383C4×C22⋊D43C2318yescomplemented
384C4×C22⋊D43C2318yescomplemented
385#13063283C2318yescomplemented
386#13063283C2318yescomplemented
387#13063282C2318yescomplemented
388#13063282C2318yescomplemented
389#13063282C2318yescomplemented
390#13063281C2318yes—
391#13063281C2318yes—
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×Dic43⋊C4C2311yescharacteristic
401C2×Dic43⋊C4C2311yescharacteristic
402C2×Dic43⋊C4C2311yescharacteristic
403C2×Dic43⋊C4C2311yescharacteristic
404C2×Dic43⋊C4C2311yescharacteristic
405C2×Dic43⋊C4C2311yescharacteristic
406C2×Dic43⋊C4C2311yescharacteristic
407C2×Dic43⋊C4C2311yescharacteristic
408C2×Dic43⋊C4C2311yescharacteristic
409C2×Dic43⋊C4C2311yescharacteristic
410C2×Dic43⋊C4C2311yescharacteristic
411C2×Dic43⋊C4C2318yes—
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
427C4⋊C4×D43C2318yescomplemented
428C4⋊C4×D43C2318yescomplemented
429C4⋊C4×D43C2318yescomplemented
430C4⋊C4×D43C2318yescomplemented
431C2×C22⋊Dic43C2311yescharacteristic
432C2×C22⋊Dic43C2311yescharacteristic
433C2×C22⋊Dic43C2311yescharacteristic
434C2×C22⋊Dic43C2311yescharacteristic
435C2×C22⋊Dic43C2311yescharacteristic
436C2×C22⋊Dic43C2311yescharacteristic
437C2×(C2×D43)⋊C4C2318yes—
438C2×(C2×D43)⋊C4C2318yes—
439C2×(C2×D43)⋊C4C2311yescharacteristic
440C2×(C2×D43)⋊C4C2311yescharacteristic
441C2×(C2×D43)⋊C4C2311yescharacteristic
442C2×(C2×D43)⋊C4C2311yescharacteristic
443C2×(C2×D43)⋊C4C2311yescharacteristic
444C2×(C2×D43)⋊C4C2311yescharacteristic
445C2×(C2×D43)⋊C4C2311yescharacteristic
446C2×(C2×D43)⋊C4C2311yescharacteristic
447C2×(C2×D43)⋊C4C2311yescharacteristic
448C2×(C2×D43)⋊C4C2311yescharacteristic
449C2×(C2×D43)⋊C4C2311yescharacteristic
450C2×(C2×D43)⋊C4C2311yescharacteristic
451C2×(C2×D43)⋊C4C2311yescharacteristic
452C2×(C2×D43)⋊C4C2311yescharacteristic
453C2×(C2×D43)⋊C4C2311yescharacteristic
454C2×(C2×D43)⋊C4C2311yescharacteristic
455C2×(C2×D43)⋊C4C2311yescharacteristic
456C2×(C2×D43)⋊C4C2311yescharacteristic
457C2×(C2×D43)⋊C4C2311yescharacteristic
458C2×(C2×D43)⋊C4C2311yescharacteristic
459C2×(C2×D43)⋊C4C2318yes—
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
472C2×(C2×D43)⋊C4C2311yescharacteristic
473C2×(C2×D43)⋊C4C2311yescharacteristic
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
491C23×C4×C43C2311yescharacteristic
492C23×C4×C43C2311yescharacteristic
493C23×C4×C43C2311yescharacteristic
494C23×C4×C43C2311yescharacteristic
495C4⋊Q8×C43C2318yescomplemented
496#125×C43C2318yescomplemented
497#125×C43C2318yescomplemented
498C22⋊Q8×C43C2318yes—
499C22⋊Q8×C43C2318yes—
500C22⋊Q8×C43C2318yes—
501C22⋊Q8×C43C2318yescomplemented
502C22⋊Q8×C43C2318yescomplemented
503C22⋊Q8×C43C2318yescomplemented
504C4×Q8×C43C2318yescomplemented
505C4×D4×C43C2318yes—
506C4×D4×C43C2318yes—
507C4×D4×C43C2318yes—
508C2×C4⋊C4×C43C2311yescharacteristic
509C2×C4⋊C4×C43C2311yescharacteristic
510C2×C4⋊C4×C43C2311yescharacteristic
511C2×C4⋊C4×C43C2311yescharacteristic
512C2×C4⋊C4×C43C2318yes—
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×C43C2311yescharacteristic
523C2×C4⋊C4×C43C2311yescharacteristic
524C2×C4⋊C4×C43C2311yescharacteristic
525C2×C4⋊C4×C43C2318yescomplemented
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×D43C2411yescharacteristic
547C23×D43C2414yes—
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—24no—
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×C43—42no—
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×C43C2411yescharacteristic
576C22×C4×C43C2411yescharacteristic
577C22×C4×C43C2414yes—
578C22×C4×C43C2414yes—
579C22×C4×C43C2414yes—
580C22×C4×C43C2414yes—
581C22×C4×C43C2414yes—
582C22×C4×C43C2414yes—
583C2×C22⋊D43—24no—
584C2×C22⋊D43—24no—
585C2×C22⋊D43—42no—
586C2×C22⋊D43—42no—
587C2×C22⋊D43—42no—
588C2×C22⋊D43—42no—
589C2×C22⋊D43C2414yes—
590C2×C22⋊D43C2414yes—
591C2×C22⋊D43C2414yes—
592C2×C22⋊D43C2414yes—
593C2×C22⋊D43C2414yes—
594C2×C22⋊D43C2414yes—
595C22×Dic43—24no—
596C22×Dic43—42no—
597C22×Dic43C2411yescharacteristic
598C22×Dic43C2411yescharacteristic
599C22×Dic43C2411yescharacteristic
600C22×Dic43C2411yescharacteristic
601C22×Dic43C2411yescharacteristic
602C22×Dic43C2411yescharacteristic
603C22×Dic43C2411yescharacteristic
604C22×Dic43C2411yescharacteristic
605C22×Dic43C2414yes—
606C22×Dic43C2411yescharacteristic
607C22×Dic43C2411yescharacteristic
608C22×Dic43C2411yescharacteristic
609C22×Dic43C2414yes—
610#10621902—416no—
611Q8×D43—416no—
612#10621898—416no—
613#10621898—416no—
614C2×D172—24no—
615C2×D172—24no—
616C2×D172—24no—
617C2×D172—42no—
618C2×D172—42no—
619C2×D172—42no—
620C2×D172—42no—
621C2×D172—42no—
622C2×D172—416no—
623C2×D172C2414yes—
624C2×D172C2414yes—
625C2×D172C2414yes—
626C2×D172C2414yes—
627C2×D172C2414yes—
628C2×D172C2414yes—
629C2×D172C2414yes—
630C2×D172C2414yes—
631C2×C4×D43—24no—
632C2×C4×D43—24no—
633C2×C4×D43—24no—
634C2×C4×D43—24no—
635C2×C4×D43—416no—
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×D43—42no—
644C2×C4×D43—42no—
645C2×C4×D43—42no—
646C2×C4×D43—42no—
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—
696C42×C43C2414yes—
697C42×C43C2414yes—
698C42×C43C2414yes—
699C22⋊Dic43C2414yes—
700C22⋊Dic43C2414yes—
701C22⋊Dic43C2414yes—
702C22⋊Dic43C2414yes—
703C22⋊Dic43C2414yes—
704C22⋊Dic43C2414yes—
705(C2×D43)⋊C4C2414yes—
706(C2×D43)⋊C4C2414yes—
707(C2×D43)⋊C4C2414yes—
708(C2×D43)⋊C4C2414yes—
709(C2×D43)⋊C4C2414yes—
710(C2×D43)⋊C4C2414yes—
711(C2×D43)⋊C4C2414yes—
712(C2×D43)⋊C4C2414yes—
713(C2×D43)⋊C4C2414yes—
714(C2×D43)⋊C4C2414yes—
715(C2×D43)⋊C4C2414yes—
716(C2×D43)⋊C4C2414yes—
717(C2×D43)⋊C4C2414yes—
718(C2×D43)⋊C4C2414yes—
719(C2×D43)⋊C4C2414yes—
720(C2×D43)⋊C4C2414yes—
721(C2×D43)⋊C4C2414yes—
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—
747Dic43⋊C4C2414yes—
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—
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×C432−1+414yes—
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—28no—
797C22×D43—22no—
798C22×D43—22no—
799C22×D43—22no—
800C22×D43—22no—
801C22×D43—22no—
802C22×D43—22no—
803C22×D43—22no—
804C22×D43—28no—
805C22×D43—28no—
806C22×D43—44no—
807C22×D43—44no—
808C22×D43—44no—
809C22×D43—416no—
810C22×D43—88no—
811C22×D43H(5,𝔽2)14yes—
812C22×D43C2512yes—
813C22×D43C2512yes—
814C22×D43C2512yes—
815C22×D43C2512yes—
816C22×D43C2512yes—
817Q8×C43—44no—
818Q8×C43—44no—
819Q8×C43—44no—
820D4×C43—28no—
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×C43—44no—
837C2×C4×C43—44no—
838C2×C4×C43—44no—
839C2×C4×C43—44no—
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—
850C2×C4×C43C2512yes—
851C2×C4×C43C2512yes—
852C2×C4×C43C2512yes—
853C22⋊D43—28no—
854C22⋊D43—28no—
855C22⋊D43—44no—
856C22⋊D43—44no—
857C22⋊D43—44no—
858C22⋊D43—44no—
859C2×Dic43—22no—
860C2×Dic43—22no—
861C2×Dic43—22no—
862C2×Dic43—22no—
863C2×Dic43—22no—
864C2×Dic43—28no—
865C2×Dic43—22no—
866C2×Dic43—22no—
867C2×Dic43—22no—
868C2×Dic43—22no—
869C2×Dic43—22no—
870C2×Dic43—22no—
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—
883D172—28no—
884D172—28no—
885D172—28no—
886D172—44no—
887D172—44no—
888D172—44no—
889D172—44no—
890D172—44no—
891C4×D43—28no—
892C4×D43—28no—
893C4×D43—28no—
894C4×D43—28no—
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—28no—
916C22×C43—22no—
917C22×C43—22no—
918C22×C43—22no—
919C22×C43—44no—
920C22×C43C2×H(5,𝔽2)12yes—
921C22×C43C2×2−1+414yes—
922C22×C43C2×2−1+412yes—
923C22×C43#58512yes—
924C22×C43C2611yescharacteristic
925C2×D43—22no—
926C2×D43—22no—
927C2×D43—28no—
928C2×D43—22no—
929C2×D43—22no—
930C2×D43—22no—
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—44no—
945C2×D43—88no—
946C2×D43C2×H(5,𝔽2)14yes—
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×#563—431no—
974C2×#562—431no—
975C2×#562—431no—
976C2×#554—431no—
977C2×#554D4311yescharacteristic, complemented
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—24no—
1004C2×C43—42no—
1005C2×C43#353514yescomplemented
1006C2×C43C22×H(5,𝔽2)11yescharacteristic
1007C2×C43C22×2−1+411yescharacteristic
1008C2×C43C2×#58511yescharacteristic
1009D43—24no—
1010D43—42no—
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#563—4316no—
1022#562—4316no—
1023#562—4316no—
1024#554—4316no—
1025#554C2×D43116yescomplemented
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⋊Q8—431no—
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×#126—431no—
1063C2×#126—431no—
1064C2×#126—431no—
1065C2×#126—431no—
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—431no—
1091C2×#123—431no—
1092C2×#123—431no—
1093C2×#123—431no—
1094C2×#123—431no—
1095C2×#123—431no—
1096C2×#123—431no—
1097C2×#123—431no—
1098C2×#123—4316no—
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×#123—431no—
1113C2×#123—431no—
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⋊Q8C2×D4311yescharacteristic
1144C2×C22⋊Q8C2×D4311yescharacteristic
1145C2×C22⋊Q8C2×D4311yescharacteristic
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×Q8C2×D4311yescharacteristic, complemented
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×D4C2×D4311yescharacteristic
1177C2×C4×D4C2×D4311yescharacteristic
1178C2×C4×D4C2×D4311yescharacteristic
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⋊C4C2×D4311yescharacteristic
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—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—431no—
1227C22×D4—431no—
1228C22×D4—431no—
1229C22×D4—431no—
1230C22×D4—431no—
1231C22×D4—431no—
1232C22×D4—431no—
1233C22×D4—431no—
1234C22×D4—438no—
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—438no—
1255C23×C4—1724no—
1256C23×C4C22×D4311yescharacteristic
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⋊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#126—438no—
1277#126—438no—
1278#126—438no—
1279#126—438no—
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#123—438no—
1323#123—438no—
1324#123—438no—
1325#123—438no—
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⋊Q8C22×D4318yes—
1355C22⋊Q8C22×D4318yes—
1356C22⋊Q8C22×D4318yes—
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×Q8C22×D4318yescomplemented
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×D4C22×D4318yes—
1388C4×D4C22×D4318yes—
1389C4×D4C22×D4318yes—
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—438no—
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—438no—
1433C2×C4⋊C4—438no—
1434C2×C4⋊C4—438no—
1435C2×C4⋊C4—438no—
1436C2×C4⋊C4C22×D4311yescharacteristic
1437C2×C4⋊C4C22×D4311yescharacteristic
1438C2×C4⋊C4C22×D4311yescharacteristic
1439C2×C4⋊C4C22×D4311yescharacteristic
1440C2×C4⋊C4C22×D4311yescharacteristic
1441C2×C4⋊C4C22×D4311yescharacteristic
1442C2×C4⋊C4C22×D4311yescharacteristic
1443C2×C4⋊C4C22×D4318yes—
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—438no—
1482C2×C22⋊C4—438no—
1483C2×C22⋊C4—431no—
1484C2×C22⋊C4—431no—
1485C2×C22⋊C4—431no—
1486C2×C22⋊C4—431no—
1487C2×C22⋊C4—431no—
1488C2×C22⋊C4—431no—
1489C2×C22⋊C4—431no—
1490C2×C22⋊C4—431no—
1491C2×C22⋊C4—431no—
1492C2×C22⋊C4—431no—
1493C2×C22⋊C4—431no—
1494C2×C22⋊C4—431no—
1495C2×C22⋊C4—431no—
1496C2×C22⋊C4—431no—
1497C2×C22⋊C4—438no—
1498C2×C22⋊C4—438no—
1499C2×C22⋊C4—438no—
1500C2×C22⋊C4—438no—
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—24no—
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—1722no—
1575C2×D4—1722no—
1576C2×D4—1722no—
1577C2×D4—1722no—
1578C2×D4—1722no—
1579C2×D4—17216no—
1580C2×D4—1722no—
1581C2×D4—1722no—
1582C2×D4—1722no—
1583C2×D4—1722no—
1584C2×D4C23×D4314yes—
1585C22×C4—42no—
1586C22×C4—42no—
1587C22×C4—42no—
1588C22×C4—42no—
1589C22×C4—42no—
1590C22×C4—42no—
1591C22×C4—434no—
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—431no—
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—17216no—
1636C22×C4—1722no—
1637C22×C4C23×D4311yescharacteristic
1638C22×C4C23×D4311yescharacteristic
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×D4314yes—
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⋊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⋊C4—434no—
1743C22⋊C4—434no—
1744C22⋊C4—434no—
1745C22⋊C4—434no—
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—434no—
1768C23—432no—
1769C23—432no—
1770C23—432no—
1771C23—432no—
1772C23—432no—
1773C23—868no—
1774C23—862no—
1775C23—862no—
1776C23—868no—
1777C23—862no—
1778C23—862no—
1779C23—862no—
1780C23—862no—
1781C23—862no—
1782C23—868no—
1783C23—862no—
1784C23—862no—
1785C23—862no—
1786C23—862no—
1787C23—862no—
1788C23—862no—
1789C23—862no—
1790C23—3448no—
1791C23—1724no—
1792C23—1724no—
1793C23—1724no—
1794C23—17216no—
1795C23#1306337314yes—
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—28no—
1809D4—868no—
1810D4—868no—
1811D4—868no—
1812D4—868no—
1813D4—868no—
1814D4—1724no—
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—44no—
1839C2×C4—44no—
1840C2×C4—44no—
1841C2×C4—44no—
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—432no—
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—868no—
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×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—28no—
1897C22—22no—
1898C22—22no—
1899C22—22no—
1900C22—44no—
1901C22—434no—
1902C22—862no—
1903C22—862no—
1904C22—868no—
1905C22—862no—
1906C22—862no—
1907C22—862no—
1908C22—862no—
1909C22—862no—
1910C22—862no—
1911C22—862no—
1912C22—862no—
1913C22—862no—
1914C22—862no—
1915C22—862no—
1916C22—862no—
1917C22—3448no—
1918C22—17216no—
1919C22—1724no—
1920C22—1724no—
1921C22—1724no—
1922C22—1724no—
1923C22H(5,𝔽2)×D4312yes—
1924C22C2×#1306337314yes—
1925C22C2×#1306337312yes—
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—22no—
1941C4—862no—
1942C4—862no—
1943C4—862no—
1944C4—862no—
1945C4—862no—
1946C4—862no—
1947C4—862no—
1948C4—862no—
1949C4—862no—
1950C4—862no—
1951C4—862no—
1952C2—24no—
1953C2—42no—
1954C2—864no—
1955C2—1722no—
1956C2—1722no—
1957C2—1722no—
1958C2—1722no—
1959C2#1914879914yesdirect product factor
1960C2C2×H(5,𝔽2)×D4311yescharacteristic
1961C2C22×#1306337311yescharacteristic
1962C2C2×#1458373511yescharacteristic
subgroupG/H
centerC23C24×D43
commutator, cosocleC22×C43C26
FrattiniC22C25×D43
FittingC2×C43×#554C2
socleC23×C43C25
hypercenterC2×#554D43
hypocenterC43C2×#3535
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×#554

Complements

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

NH ≅ G/Ntype
1. #19148799C2direct (N × H)
2. C2×#14583653C2semidirect
3. C2×#14583648C2semidirect
4. C2×#14583645C2semidirect
5. C2×#14583645C2semidirect
6. C2×#14583604C2semidirect
7. C2×#14583590C2semidirect
8. C2×#14583581C2semidirect
9. C2×#14583578C2semidirect
10. C2×#14583578C2semidirect
11. C2×#14583576C2semidirect
12. C2×#14583576C2semidirect
13. C2×#14583551C2semidirect
14. C2×#14583550C2semidirect
15. C2×#14583545C2semidirect
16. C2×#14583540C2semidirect
17. C2×#14583528C2semidirect
18. C2×#14583524C2semidirect
19. C2×#14583521C2semidirect
20. C2×#14583519C2semidirect
21. C2×#14583497C2semidirect
22. C2×#14583497C2semidirect
23. C2×#14583496C2semidirect
24. C2×#14583495C2semidirect
25. C2×#14583491C2semidirect
26. C2×#14583482C2semidirect
27. C2×#14583474C2semidirect
28. C2×#14583472C2semidirect
29. C2×#14583408C2semidirect
30. C22×#13063310C2semidirect
31. C2×C22⋊Q8×D43C2semidirect
32. C2×C43×#554C2semidirect
35. C22×#10621898C22semidirect
36. C22×Q8×D43C22semidirect
39. #14583653C22semidirect
40. #14583648C22semidirect
41. #14583645C22semidirect
42. #14583645C22semidirect
43. #14583604C22semidirect
44. #14583590C22semidirect
45. #14583581C22semidirect
46. #14583578C22semidirect
47. #14583578C22semidirect
48. #14583576C22semidirect
49. #14583576C22semidirect
50. #14583551C22semidirect
51. #14583550C22semidirect
52. #14583545C22semidirect
53. #14583540C22semidirect
54. #14583528C22semidirect
55. #14583524C22semidirect
56. #14583521C22semidirect
57. #14583519C22semidirect
58. #14583497C22semidirect
59. #14583497C22semidirect
60. #14583496C22semidirect
61. #14583495C22semidirect
62. #14583491C22semidirect
63. #14583482C22semidirect
64. #14583474C22semidirect
65. #14583472C22semidirect
66. C2×#13063324C22semidirect
67. C2×#13063324C22semidirect
68. C2×#13063324C22semidirect
69. C2×#13063323C22semidirect
70. C2×#13063323C22semidirect
71. C2×#13063320C22semidirect
72. C2×#13063320C22semidirect
73. C2×#13063320C22semidirect
74. C2×#13063320C22semidirect
75. C2×#13063320C22semidirect
76. C2×#13063320C22semidirect
77. C2×#13063320C22semidirect
78. C2×#13063319C22semidirect
79. C2×#13063319C22semidirect
80. C2×#13063319C22semidirect
81. C2×#13063319C22semidirect
82. C2×#13063318C22semidirect
83. C2×#13063317C22semidirect
84. C2×#13063315C22semidirect
85. C2×#13063315C22semidirect
86. C2×#13063315C22semidirect
87. C2×#13063315C22semidirect
88. C2×#13063315C22semidirect
89. C2×#13063315C22semidirect
90. C2×#13063315C22semidirect
92. C2×#13063314C22semidirect
93. C2×#13063314C22semidirect
95. C2×#13063313C22semidirect
96. C2×#13063311C22semidirect
97. C2×#13063311C22semidirect
98. C2×#13063311C22semidirect
99. #14583408C22semidirect
112. C2×#13063310C22semidirect
113. C2×#13063310C22semidirect
114. C2×#13063310C22semidirect
115. C2×#13063310C22semidirect
116. C2×#13063310C22semidirect
117. C2×#13063310C22semidirect
118. C2×#13063310C22semidirect
120. C2×#13063308C22semidirect
121. C2×#13063308C22semidirect
122. C2×#13063308C22semidirect
123. C2×#13063308C22semidirect
124. C2×#13063307C22semidirect
125. C2×#13063307C22semidirect
126. C2×#13063307C22semidirect
127. C2×#13063307C22semidirect
129. C2×#13063305C22semidirect
130. C2×#13063305C22semidirect
131. C2×#13063305C22semidirect
132. C2×#13063305C22semidirect
136. C2×#13063304C22semidirect
137. C2×#13063303C22semidirect
138. C2×#13063303C22semidirect
139. C2×#13063303C22semidirect
140. C2×#13063303C22semidirect
141. C2×#13063303C22semidirect
142. C2×#13063303C22semidirect
143. C2×#13063303C22semidirect
144. C2×#13063303C22semidirect
145. C2×#13063303C22semidirect
146. C2×#13063303C22semidirect
147. C2×#13063303C22semidirect
148. C2×#13063303C22semidirect
152. C2×#13063301C22semidirect
153. C2×#13063301C22semidirect
154. C2×#13063301C22semidirect
155. C2×#13063301C22semidirect
156. C2×#13063301C22semidirect
157. C22⋊Q8×D43C22semidirect
162. C2×#13063299C22semidirect
165. C2×#13063298C22semidirect
166. C2×#13063298C22semidirect
172. C2×#13063290C22semidirect
174. C2×C4×D172C22semidirect
176. C2×#13063287C22semidirect
177. C2×#13063287C22semidirect
181. C2×C4×C22⋊D43C22semidirect
182. C2×C4×C22⋊D43C22semidirect
183. C2×C4×C22⋊D43C22semidirect
184. C2×#13063283C22semidirect
185. C2×#13063283C22semidirect
186. C2×#13063282C22semidirect
187. C2×#13063282C22semidirect
188. C2×#13063282C22semidirect
192. C2×C4⋊C4×D43C22semidirect
193. C2×C4⋊C4×D43C22semidirect
194. C2×C4⋊C4×D43C22semidirect
195. C2×C4⋊C4×D43C22semidirect
203. C43×#554C22semidirect
204. C2×C4⋊Q8×C43C22semidirect
205. C2×#125×C43C22semidirect
206. C2×#125×C43C22semidirect
210. C2×C22⋊Q8×C43C22semidirect
211. C2×C22⋊Q8×C43C22semidirect
212. C2×C22⋊Q8×C43C22semidirect
213. C2×C4×Q8×C43C22semidirect
218. C22×C4⋊C4×C43C22semidirect
226. C2×#10621898C23semidirect
234. C2×Q8×D43C23semidirect
270. #13063324C23semidirect
271. #13063324C23semidirect
272. #13063324C23semidirect
273. #13063323C23semidirect
274. #13063323C23semidirect
275. #13063320C23semidirect
276. #13063320C23semidirect
277. #13063320C23semidirect
278. #13063320C23semidirect
279. #13063320C23semidirect
280. #13063320C23semidirect
281. #13063320C23semidirect
282. #13063319C23semidirect
283. #13063319C23semidirect
284. #13063319C23semidirect
285. #13063319C23semidirect
286. #13063318C23semidirect
287. #13063317C23semidirect
288. #13063315C23semidirect
289. #13063315C23semidirect
290. #13063315C23semidirect
291. #13063315C23semidirect
292. #13063315C23semidirect
293. #13063315C23semidirect
294. #13063315C23semidirect
296. #13063314C23semidirect
297. #13063314C23semidirect
299. #13063313C23semidirect
300. #13063311C23semidirect
301. #13063311C23semidirect
302. #13063311C23semidirect
315. #13063310C23semidirect
316. #13063310C23semidirect
317. #13063310C23semidirect
318. #13063310C23semidirect
319. #13063310C23semidirect
320. #13063310C23semidirect
322. #13063308C23semidirect
323. #13063308C23semidirect
324. #13063308C23semidirect
325. #13063308C23semidirect
326. #13063307C23semidirect
327. #13063307C23semidirect
328. #13063307C23semidirect
329. #13063307C23semidirect
331. #13063305C23semidirect
332. #13063305C23semidirect
333. #13063305C23semidirect
334. #13063305C23semidirect
338. #13063304C23semidirect
339. #13063303C23semidirect
340. #13063303C23semidirect
341. #13063303C23semidirect
342. #13063303C23semidirect
343. #13063303C23semidirect
344. #13063303C23semidirect
345. #13063303C23semidirect
346. #13063303C23semidirect
347. #13063303C23semidirect
348. #13063303C23semidirect
349. #13063303C23semidirect
350. #13063303C23semidirect
354. #13063301C23semidirect
355. #13063301C23semidirect
356. #13063301C23semidirect
357. #13063301C23semidirect
358. #13063301C23semidirect
363. #13063299C23semidirect
366. #13063298C23semidirect
367. #13063298C23semidirect
373. #13063290C23semidirect
375. C4×D172C23semidirect
377. #13063287C23semidirect
378. #13063287C23semidirect
382. C4×C22⋊D43C23semidirect
383. C4×C22⋊D43C23semidirect
384. C4×C22⋊D43C23semidirect
385. #13063283C23semidirect
386. #13063283C23semidirect
387. #13063282C23semidirect
388. #13063282C23semidirect
389. #13063282C23semidirect
427. C4⋊C4×D43C23semidirect
428. C4⋊C4×D43C23semidirect
429. C4⋊C4×D43C23semidirect
430. C4⋊C4×D43C23semidirect
495. C4⋊Q8×C43C23semidirect
496. #125×C43C23semidirect
497. #125×C43C23semidirect
501. C22⋊Q8×C43C23semidirect
502. C22⋊Q8×C43C23semidirect
503. C22⋊Q8×C43C23semidirect
504. C4×Q8×C43C23semidirect
525. C2×C4⋊C4×C43C23semidirect
977. C2×#554D43semidirect
1005. C2×C43#3535semidirect
1025. #554C2×D43semidirect
1053. C2×C4⋊Q8C2×D43semidirect
1074. C2×#125C2×D43semidirect
1075. C2×#125C2×D43semidirect
1146. C2×C22⋊Q8C2×D43semidirect
1147. C2×C22⋊Q8C2×D43semidirect
1148. C2×C22⋊Q8C2×D43semidirect
1164. C2×C4×Q8C2×D43semidirect
1192. C22×C4⋊C4C2×D43semidirect
1200. C43C2×#3535semidirect
1267. C4⋊Q8C22×D43semidirect
1288. #125C22×D43semidirect
1289. #125C22×D43semidirect
1357. C22⋊Q8C22×D43semidirect
1358. C22⋊Q8C22×D43semidirect
1359. C22⋊Q8C22×D43semidirect
1375. C4×Q8C22×D43semidirect
1453. C2×C4⋊C4C22×D43semidirect
1959. C2#19148799direct (N × H)

Maximal subgroups

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

subgroupindex
#191487992
C2×#145836532
C2×#145836482
C2×#145836452
C2×#145836042
C2×#145835902
C2×#145835812
C2×#145835782
C2×#145835762
C2×#145835512
C2×#145835502
C2×#145835452
C2×#145835402
C2×#145835282
C2×#145835242
C2×#145835212
C2×#145835192
C2×#145834972
C2×#145834962
C2×#145834952
C2×#145834912
C2×#145834822
C2×#145834742
C2×#145834722
C2×#145834082
C22×#130633102
C2×C22⋊Q8×D432
C2×C43×#5542
C2×#353543