Finite Group Databasebeta

← C22×#40538 #72326110

Subgroups — C22×#40538 #72326110

Order 1024.

68945 conjugacy classes of subgroups.

The subgroup lattice has 2448 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#40538C2196yesmaximal, direct product factor
2C22×#2786C211yesmaximal, characteristic, complemented
3C22×#2757C211yesmaximal, characteristic, complemented
4C22×#2746C211yesmaximal, characteristic, complemented
5C22×#2728C211yesmaximal, characteristic, complemented
6C22×#2711C211yesmaximal, characteristic, complemented
7C22×#2708C211yesmaximal, characteristic, complemented
8C22×#2681C211yesmaximal, characteristic, complemented
9C22×#2691C211yesmaximal, characteristic, complemented
10C22×#2826C211yesmaximal, characteristic, complemented
11C22×#2827C211yesmaximal, characteristic, complemented
12C22×#2569C211yesmaximal, characteristic, complemented
13C22×#2510C211yesmaximal, characteristic, complemented
14C22×#2417C211yesmaximal, characteristic, complemented
15C22×#2466C211yesmaximal, characteristic, complemented
16C22×#2480C211yesmaximal, characteristic, complemented
17C22×#2473C211yesmaximal, characteristic, complemented
18C22×#2412C211yesmaximal, characteristic, complemented
19C22×#2463C211yesmaximal, characteristic, complemented
20C22×#2418C211yesmaximal, characteristic, complemented
21C22×#2437C211yesmaximal, characteristic, complemented
22C22×#2437C211yesmaximal, characteristic, complemented
23C22×#2410C211yesmaximal, characteristic
24C22×#2633C211yesmaximal, characteristic, complemented
25C22×#2653C211yesmaximal, characteristic, complemented
26C22×#2630C211yesmaximal, characteristic, complemented
27C22×#2630C211yesmaximal, characteristic, complemented
28C22×#2622C211yesmaximal, characteristic, complemented
29C23×#394C211yesmaximal, characteristic, complemented
30C22×#2358C211yesmaximal, characteristic, complemented
31C22×D4×C22⋊C4C211yesmaximal, characteristic, complemented
32C22×#2315C211yesmaximal, characteristic, complemented
33C25×D4C2211yescharacteristic
34C23×#126C2211yescharacteristic, complemented
35C23×#125C2211yescharacteristic, complemented
36C23×#123C2211yescharacteristic, complemented
37C23×#123C2211yescharacteristic, complemented
38C23×C22⋊Q8C2211yescharacteristic
39C23×C22⋊Q8C2211yescharacteristic, complemented
40C23×C22⋊Q8C2211yescharacteristic, complemented
41C23×C22⋊Q8C2211yescharacteristic, complemented
42C23×#121C2211yescharacteristic
43C23×#121C2211yescharacteristic
44C23×#120C2211yescharacteristic
45C23×#120C2211yescharacteristic
46C23×C4×D4C2211yescharacteristic
47C23×C4×D4C2211yescharacteristic
48C23×C4×D4C2211yescharacteristic
49C23×C4×D4C2211yescharacteristic, complemented
50C24×C4⋊C4C2211yescharacteristic
51C24×C22⋊C4C2211yescharacteristic
52C24×C22⋊C4C2211yescharacteristic
53C24×C22⋊C4C2211yescharacteristic
54C24×C22⋊C4C2211yescharacteristic
55C24×C22⋊C4C2211yescharacteristic
56C24×C22⋊C4C2211yescharacteristic
57C24×C22⋊C4C2211yescharacteristic
58C2×#2786C22148yescomplemented
59C2×#2757C22148yescomplemented
60C2×#2746C22148yescomplemented
61C2×#2728C22148yescomplemented
62C2×#2711C22148yescomplemented
63C2×#2708C22148yescomplemented
64C2×#2691C22148yescomplemented
65C2×#2681C22148yescomplemented
66#40538C2211024yesdirect product factor
67C2×#2826C22148yescomplemented
68C2×#2827C22148yescomplemented
69C2×#2569C22148yescomplemented
70C2×#2510C22148yescomplemented
71C2×#2417C22148yescomplemented
72C2×#2466C22148yescomplemented
73C2×#2480C22148yescomplemented
74C2×#2473C22148yescomplemented
75C2×#2412C22148yescomplemented
76C2×#2463C22148yescomplemented
77C2×#2418C22148yescomplemented
78C2×#2437C22148yescomplemented
79C2×#2437C22148yescomplemented
80C2×#2410C22148yes—
81C2×#2633C22148yescomplemented
82C2×#2653C22148yescomplemented
83C2×#2630C22148yescomplemented
84C2×#2630C22148yescomplemented
85C2×#2622C22148yescomplemented
86C22×#401C2211yescharacteristic, complemented
87C22×#400C2211yescharacteristic, complemented
88C22×#400C2211yescharacteristic, complemented
89C22×#400C2211yescharacteristic, complemented
90C22×#400C2211yescharacteristic, complemented
91C22×#399C2211yescharacteristic, complemented
92C22×#399C2211yescharacteristic, complemented
93C22×#399C2211yescharacteristic, complemented
94C22×#398C2211yescharacteristic, complemented
95C22×#398C2211yescharacteristic, complemented
96C22×#398C2211yescharacteristic, complemented
97C22×#398C2211yescharacteristic, complemented
98C22×#398C2211yescharacteristic, complemented
99C22×#398C2211yescharacteristic, complemented
100C22×#398C2211yescharacteristic, complemented
101C22×#397C2211yescharacteristic, complemented
102C22×#397C2211yescharacteristic, complemented
103C22×#397C2211yescharacteristic, complemented
104C22×#397C2211yescharacteristic, complemented
105C22×#397C2211yescharacteristic, complemented
106C22×#397C2211yescharacteristic, complemented
107C22×#397C2211yescharacteristic, complemented
108C22×#397C2211yescharacteristic, complemented
109C22×#397C2211yescharacteristic, complemented
110C22×#397C2211yescharacteristic, complemented
111C22×#397C2211yescharacteristic, complemented
112C22×#397C2211yescharacteristic, complemented
113C22×#396C2211yescharacteristic, complemented
114C22×#396C2211yescharacteristic, complemented
115C22×#396C2211yescharacteristic, complemented
116C22×#396C2211yescharacteristic, complemented
117C22×#396C2211yescharacteristic, complemented
118C22×#396C2211yescharacteristic, complemented
119C22×#396C2211yescharacteristic, complemented
120C22×#394C2211yescharacteristic
121C22×#394C2211yescharacteristic
122C22×#394C2211yescharacteristic
123C22×#394C2211yescharacteristic
124C22×#394C2211yescharacteristic
125C22×#394C2211yescharacteristic
126C22×#394C2211yescharacteristic
127C22×#394C2211yescharacteristic
128C22×#394C2211yescharacteristic
129C22×#394C2211yescharacteristic
130C22×#394C22148yescomplemented
131C22×#394C2211yescharacteristic, complemented
132C22×#394C2211yescharacteristic, complemented
133C22×#394C2211yescharacteristic, complemented
134C22×#394C2211yescharacteristic, complemented
135C22×#394C2211yescharacteristic, complemented
136C22×#394C2211yescharacteristic, complemented
137C22×#394C2211yescharacteristic, complemented
138C22×#394C2211yescharacteristic, complemented
139C22×#393C2211yescharacteristic, complemented
140C22×#393C2211yescharacteristic, complemented
141C22×#392C2211yescharacteristic
142C22×#392C2211yescharacteristic
143C2×#2358C22148yescomplemented
144C2×D4×C22⋊C4C22148yescomplemented
145C2×#2315C22148yescomplemented
146C22×#391C2211yescharacteristic, complemented
147C22×#390C2211yescharacteristic
148C22×#390C2211yescharacteristic
149C22×#390C2211yescharacteristic, complemented
150C22×#389C2211yescharacteristic, complemented
151C22×#389C2211yescharacteristic, complemented
152C22×#388C2211yescharacteristic, complemented
153C22×#388C2211yescharacteristic, complemented
154C22×#388C2211yescharacteristic, complemented
155C22×#388C2211yescharacteristic, complemented
156C22×#388C2211yescharacteristic, complemented
157C22×#388C2211yescharacteristic, complemented
158C22×#388C2211yescharacteristic, complemented
159C22×#388C2211yescharacteristic, complemented
160C22×#388C2211yescharacteristic, complemented
161C22×#387C2211yescharacteristic, complemented
162C22×#387C2211yescharacteristic, complemented
163C22×#387C2211yescharacteristic, complemented
164C22×#387C2211yescharacteristic, complemented
165C22×#387C2211yescharacteristic, complemented
166C22×#387C2211yescharacteristic, complemented
167C22×#387C2211yescharacteristic, complemented
168C22×#386C2211yescharacteristic
169C22×#386C2211yescharacteristic
170C22×#386C2211yescharacteristic
171C22×#386C2211yescharacteristic
172C22×#386C2211yescharacteristic
173C22×#386C2211yescharacteristic
174C22×#386C2211yescharacteristic
175C22×#386C2211yescharacteristic
176C22×#386C2211yescharacteristic
177C22×#386C2211yescharacteristic
178C22×#386C2211yescharacteristic, complemented
179C22×#386C2211yescharacteristic, complemented
180C22×#386C2211yescharacteristic, complemented
181C22×#386C2211yescharacteristic, complemented
182C22×#385C2211yescharacteristic
183C22×#385C2211yescharacteristic
184C22×#385C2211yescharacteristic
185C22×#385C2211yescharacteristic
186C22×#385C2211yescharacteristic
187C22×#385C2211yescharacteristic
188C22×#385C2211yescharacteristic, complemented
189C22×#385C2211yescharacteristic, complemented
190C22×#385C2211yescharacteristic, complemented
191C22×#385C2211yescharacteristic, complemented
192C22×#385C2211yescharacteristic, complemented
193C22×#385C2211yescharacteristic, complemented
194C22×#385C2211yescharacteristic, complemented
195C22×#385C2211yescharacteristic, complemented
196C22×#385C2211yescharacteristic, complemented
197C22×#385C2211yescharacteristic, complemented
198C22×#385C2211yescharacteristic, complemented
199C22×#385C2211yescharacteristic, complemented
200C22×#385C2211yescharacteristic, complemented
201C22×#385C2211yescharacteristic, complemented
202C22×#383C2211yescharacteristic, complemented
203C22×#381C2211yescharacteristic, complemented
204C22×#380C2211yescharacteristic
205C22×#380C2211yescharacteristic
206C22×#380C2211yescharacteristic
207C22×#380C2211yescharacteristic
208C22×#380C2211yescharacteristic
209C22×#380C2211yescharacteristic
210C22×#380C2211yescharacteristic, complemented
211C22×#380C2211yescharacteristic, complemented
212C22×#380C2211yescharacteristic, complemented
213C22×#379C2211yescharacteristic
214C22×#379C2211yescharacteristic
215C22×#379C2211yescharacteristic
216C22×C4×C22⋊C4C2211yescharacteristic
217C22×C4×C22⋊C4C2211yescharacteristic
218C22×C4×C22⋊C4C2211yescharacteristic, complemented
219C23×#95C2211yescharacteristic
220C27C2311yescharacteristic
221C27C2311yescharacteristic
222C24×Q8C2311yescharacteristic
223C24×D4—216no—
224C24×D4—48no—
225C24×D4—48no—
226C24×D4C2311yescharacteristic
227C24×D4C2311yescharacteristic
228C24×D4C2311yescharacteristic
229C24×D4C2311yescharacteristic
230C24×D4C23124yes—
231C24×D4C2311yescharacteristic
232C24×D4C2311yescharacteristic
233C24×D4C2311yescharacteristic
234C24×D4C2311yescharacteristic
235C24×D4C2311yescharacteristic
236C25×C4C2311yescharacteristic
237C25×C4C2311yescharacteristic
238C25×C4C2311yescharacteristic
239C25×C4C2311yescharacteristic
240C25×C4C2311yescharacteristic
241C25×C4C2311yescharacteristic
242C25×C4C2311yescharacteristic
243C25×C4C2311yescharacteristic
244C25×C4C2311yescharacteristic
245C25×C4C2311yescharacteristic
246C25×C4C2311yescharacteristic
247C25×C4C2311yescharacteristic
248C22×#126—48no—
249C22×#126C23124yescomplemented
250C22×#125—48no—
251C22×#125C23124yescomplemented
252C22×#123—48no—
253C22×#123—48no—
254C22×#123C23124yescomplemented
255C22×#123C23124yescomplemented
256C22×C22⋊Q8—48no—
257C22×C22⋊Q8—48no—
258C22×C22⋊Q8—48no—
259C22×C22⋊Q8—48no—
260C22×C22⋊Q8C23124yes—
261C22×C22⋊Q8C23124yescomplemented
262C22×C22⋊Q8C23124yescomplemented
263C22×C22⋊Q8C23124yescomplemented
264C22×#121—48no—
265C22×#121—48no—
266C22×#121C23124yes—
267C22×#121C23124yes—
268C22×#120—216no—
269C22×#120—48no—
270C22×#120C23124yes—
271C22×#120C23124yes—
272C22×C4×D4—48no—
273C22×C4×D4—48no—
274C22×C4×D4—48no—
275C22×C4×D4—48no—
276C22×C4×D4C23124yes—
277C22×C4×D4C23124yes—
278C22×C4×D4C23124yes—
279C22×C4×D4C23124yescomplemented
280C23×C4⋊C4—48no—
281C23×C4⋊C4C2311yescharacteristic
282C23×C4⋊C4C2311yescharacteristic
283C23×C4⋊C4C2311yescharacteristic
284C23×C4⋊C4C2311yescharacteristic
285C23×C4⋊C4C2311yescharacteristic
286C23×C4⋊C4C2311yescharacteristic
287C23×C4⋊C4C23124yes—
288C23×C4⋊C4C2311yescharacteristic
289C23×C4⋊C4C2311yescharacteristic
290C23×C4⋊C4C2311yescharacteristic
291C23×C4⋊C4C2311yescharacteristic
292C23×C4⋊C4C2311yescharacteristic
293C23×C4⋊C4C2311yescharacteristic
294C23×C4⋊C4C2311yescharacteristic
295C23×C4⋊C4C2311yescharacteristic
296C23×C4⋊C4C2311yescharacteristic
297C23×C4⋊C4C2311yescharacteristic
298C23×C4⋊C4C2311yescharacteristic
299C23×C4⋊C4C2311yescharacteristic
300C23×C4⋊C4C2311yescharacteristic
301C23×C4⋊C4C2311yescharacteristic
302C23×C4⋊C4C2311yescharacteristic
303C23×C4⋊C4C2311yescharacteristic
304C23×C4⋊C4C2311yescharacteristic
305C23×C4⋊C4C2311yescharacteristic
306C23×C4⋊C4C2311yescharacteristic
307C23×C4⋊C4C2311yescharacteristic
308C23×C4⋊C4C2311yescharacteristic
309C23×C4⋊C4C2311yescharacteristic
310C23×C4⋊C4C2311yescharacteristic
311C23×C4⋊C4C2311yescharacteristic
312C23×C4⋊C4C2311yescharacteristic
313C23×C4⋊C4C2311yescharacteristic
314C23×C22⋊C4—216no—
315C23×C22⋊C4—48no—
316C23×C22⋊C4—48no—
317C23×C22⋊C4—48no—
318C23×C22⋊C4—48no—
319C23×C22⋊C4—48no—
320C23×C22⋊C4—48no—
321C23×C22⋊C4C23124yes—
322C23×C22⋊C4C2311yescharacteristic
323C23×C22⋊C4C2311yescharacteristic
324C23×C22⋊C4C2311yescharacteristic
325C23×C22⋊C4C2311yescharacteristic
326C23×C22⋊C4C2311yescharacteristic
327C23×C22⋊C4C2311yescharacteristic
328C23×C22⋊C4C2311yescharacteristic
329C23×C22⋊C4C2311yescharacteristic
330C23×C22⋊C4C2311yescharacteristic
331C23×C22⋊C4C2311yescharacteristic
332C23×C22⋊C4C2311yescharacteristic
333C23×C22⋊C4C2311yescharacteristic
334C23×C22⋊C4C2311yescharacteristic
335C23×C22⋊C4C2311yescharacteristic
336C23×C22⋊C4C2311yescharacteristic
337C23×C22⋊C4C2311yescharacteristic
338C23×C22⋊C4C2311yescharacteristic
339C23×C22⋊C4C2311yescharacteristic
340C23×C22⋊C4C2311yescharacteristic
341C23×C22⋊C4C2311yescharacteristic
342C23×C22⋊C4C2311yescharacteristic
343C23×C22⋊C4C2311yescharacteristic
344C23×C22⋊C4C23124yes—
345C23×C22⋊C4C23124yes—
346C23×C22⋊C4C23124yes—
347C23×C22⋊C4C23124yes—
348C23×C22⋊C4C23124yes—
349C23×C22⋊C4C23124yes—
350C23×C22⋊C4C2311yescharacteristic
351C23×C22⋊C4C2311yescharacteristic
352C23×C22⋊C4C2311yescharacteristic
353C23×C22⋊C4C2311yescharacteristic
354C23×C22⋊C4C2311yescharacteristic
355C23×C22⋊C4C2311yescharacteristic
356C23×C22⋊C4C2311yescharacteristic
357C23×C22⋊C4C2311yescharacteristic
358C23×C22⋊C4C2311yescharacteristic
359C23×C22⋊C4C2311yescharacteristic
360C23×C22⋊C4C2311yescharacteristic
361C23×C22⋊C4C2311yescharacteristic
362C23×C22⋊C4C2311yescharacteristic
363C23×C22⋊C4C2311yescharacteristic
364C23×C22⋊C4C2311yescharacteristic
365C23×C22⋊C4C2311yescharacteristic
366C23×C22⋊C4C2311yescharacteristic
367C23×C22⋊C4C2311yescharacteristic
368C23×C22⋊C4C2311yescharacteristic
369C23×C22⋊C4C2311yescharacteristic
370C23×C22⋊C4C2311yescharacteristic
371C23×C22⋊C4C2311yescharacteristic
372C23×C22⋊C4C2311yescharacteristic
373C23×C22⋊C4C2311yescharacteristic
374C23×C22⋊C4C2311yescharacteristic
375C23×C22⋊C4C2311yescharacteristic
376C23×C22⋊C4C2311yescharacteristic
377C23×C22⋊C4C2311yescharacteristic
378C23×C22⋊C4C2311yescharacteristic
379C23×C22⋊C4C2311yescharacteristic
380C23×C22⋊C4C2311yescharacteristic
381C23×C22⋊C4C2311yescharacteristic
382C23×C42C2311yescharacteristic
383C23×C42C2311yescharacteristic
384C23×C42C2311yescharacteristic
385C23×C42C2311yescharacteristic
386C23×C42C2311yescharacteristic
387#2827C231256yescomplemented
388#2826C231256yescomplemented
389#2786C231256yescomplemented
390#2757C231256yescomplemented
391#2746C231256yescomplemented
392#2728C231256yescomplemented
393#2711C231256yescomplemented
394#2708C231256yescomplemented
395#2691C231256yescomplemented
396#2681C231256yescomplemented
397#2653C231256yescomplemented
398#2633C231256yescomplemented
399#2630C231256yescomplemented
400#2630C231256yescomplemented
401#2622C231256yescomplemented
402#2569C231256yescomplemented
403#2510C231256yescomplemented
404#2480C231256yescomplemented
405#2473C231256yescomplemented
406#2466C231256yescomplemented
407#2463C231256yescomplemented
408#2437C231256yescomplemented
409#2437C231256yescomplemented
410#2418C231256yescomplemented
411#2417C231256yescomplemented
412#2412C231256yescomplemented
413#2410C231256yes—
414C2×#401C23124yescomplemented
415C2×#400C23124yescomplemented
416C2×#400C23124yescomplemented
417C2×#400C23124yescomplemented
418C2×#400C23124yescomplemented
419C2×#399C23124yescomplemented
420C2×#399C23124yescomplemented
421C2×#399C23124yescomplemented
422C2×#398C23124yescomplemented
423C2×#398C23124yescomplemented
424C2×#398C23124yescomplemented
425C2×#398C23124yescomplemented
426C2×#398C23124yescomplemented
427C2×#398C23124yescomplemented
428C2×#398C23124yescomplemented
429C2×#397C23124yescomplemented
430C2×#397C23124yescomplemented
431C2×#397C23124yescomplemented
432C2×#397C23124yescomplemented
433C2×#397C23124yescomplemented
434C2×#397C23124yescomplemented
435C2×#397C23124yescomplemented
436C2×#397C23124yescomplemented
437C2×#397C23124yescomplemented
438C2×#397C23124yescomplemented
439C2×#397C23124yescomplemented
440C2×#397C23124yescomplemented
441C2×#396C23124yescomplemented
442C2×#396C23124yescomplemented
443C2×#396C23124yescomplemented
444C2×#396C23124yescomplemented
445C2×#396C23124yescomplemented
446C2×#396C23124yescomplemented
447C2×#396C23124yescomplemented
448C2×#394C23124yes—
449C2×#394C23124yes—
450C2×#394C23124yes—
451C2×#394C23124yes—
452C2×#394C23124yes—
453C2×#394C23124yes—
454C2×#394C23124yes—
455C2×#394C23124yes—
456C2×#394C23124yes—
457C2×#394C23124yes—
458C2×#394C231256yescomplemented
459C2×#394C23124yescomplemented
460C2×#394C23124yescomplemented
461C2×#394C23124yescomplemented
462C2×#394C23124yescomplemented
463C2×#394C23124yescomplemented
464C2×#394C23124yescomplemented
465C2×#394C23124yescomplemented
466C2×#394C23124yescomplemented
467C2×#393C23124yescomplemented
468C2×#393C23124yescomplemented
469C2×#392C23124yes—
470C2×#392C23124yes—
471#2358C231256yescomplemented
472D4×C22⋊C4C231256yescomplemented
473#2315C231256yescomplemented
474C2×#391C23124yescomplemented
475C2×#390C23124yes—
476C2×#390C23124yes—
477C2×#390C23124yescomplemented
478C2×#389C23124yescomplemented
479C2×#389C23124yescomplemented
480C2×#388C23124yescomplemented
481C2×#388C23124yescomplemented
482C2×#388C23124yescomplemented
483C2×#388C23124yescomplemented
484C2×#388C23124yescomplemented
485C2×#388C23124yescomplemented
486C2×#388C23124yescomplemented
487C2×#388C23124yescomplemented
488C2×#388C23124yescomplemented
489C2×#387C23124yescomplemented
490C2×#387C23124yescomplemented
491C2×#387C23124yescomplemented
492C2×#387C23124yescomplemented
493C2×#387C23124yescomplemented
494C2×#387C23124yescomplemented
495C2×#387C23124yescomplemented
496C2×#386C23124yes—
497C2×#386C23124yes—
498C2×#386C23124yes—
499C2×#386C23124yes—
500C2×#386C23124yes—
501C2×#386C23124yes—
502C2×#386C23124yes—
503C2×#386C23124yes—
504C2×#386C23124yes—
505C2×#386C23124yes—
506C2×#386C23124yescomplemented
507C2×#386C23124yescomplemented
508C2×#386C23124yescomplemented
509C2×#386C23124yescomplemented
510C2×#385C23124yes—
511C2×#385C23124yes—
512C2×#385C23124yes—
513C2×#385C23124yes—
514C2×#385C23124yes—
515C2×#385C23124yes—
516C2×#385C23124yescomplemented
517C2×#385C23124yescomplemented
518C2×#385C23124yescomplemented
519C2×#385C23124yescomplemented
520C2×#385C23124yescomplemented
521C2×#385C23124yescomplemented
522C2×#385C23124yescomplemented
523C2×#385C23124yescomplemented
524C2×#385C23124yescomplemented
525C2×#385C23124yescomplemented
526C2×#385C23124yescomplemented
527C2×#385C23124yescomplemented
528C2×#385C23124yescomplemented
529C2×#385C23124yescomplemented
530C2×#383C23124yescomplemented
531C2×#381C23124yescomplemented
532C2×#380C23124yes—
533C2×#380C23124yes—
534C2×#380C23124yes—
535C2×#380C23124yes—
536C2×#380C23124yes—
537C2×#380C23124yes—
538C2×#380C23124yescomplemented
539C2×#380C23124yescomplemented
540C2×#380C23124yescomplemented
541C2×#379C23124yes—
542C2×#379C23124yes—
543C2×#379C23124yes—
544C2×C4×C22⋊C4C23124yes—
545C2×C4×C22⋊C4C23124yes—
546C2×C4×C22⋊C4C23124yescomplemented
547C22×#95C23124yes—
548C22×#95C2311yescharacteristic
549C22×#95C2311yescharacteristic
550C22×#95C2311yescharacteristic
551C22×#95C2311yescharacteristic
552C22×#95C2311yescharacteristic
553C22×#95C2311yescharacteristic
554C22×#95C2311yescharacteristic
555C22×#95C2311yescharacteristic
556C22×#95C2311yescharacteristic
557C22×#95C2311yescharacteristic
558C22×#95C2311yescharacteristic
559C22×#95C2311yescharacteristic
560C22×#95C2311yescharacteristic
561C22×#95C2311yescharacteristic
562C22×#95C2311yescharacteristic
563C22×#95C2311yescharacteristic
564C22×#95C2311yescharacteristic
565C22×#95C2311yescharacteristic
566C22×#95C2311yescharacteristic
567C22×#95C2311yescharacteristic
568C22×#95C2311yescharacteristic
569C22×#95C2311yescharacteristic
570C22×#95C2311yescharacteristic
571C22×#95C2311yescharacteristic
572C22×#95C2311yescharacteristic
573C22×#95C2311yescharacteristic
574C22×#95C2311yescharacteristic
575C22×#95C2311yescharacteristic
576C22×#95C2311yescharacteristic
577C22×#95C2311yescharacteristic
578C22×#95C2311yescharacteristic
579C22×#95C2311yescharacteristic
580C22×#95C2311yescharacteristic
581C22×#95C2311yescharacteristic
582C22×#95C2311yescharacteristic
583C22×#95C2311yescharacteristic
584C22×#95C2311yescharacteristic
585C22×#95C2311yescharacteristic
586C22×#95C2311yescharacteristic
587C22×#95C2311yescharacteristic
588C26—28no—
589C26—28no—
590C26—28no—
591C26—28no—
592C26—28no—
593C26—28no—
594C26—44no—
595C26—44no—
596C26—44no—
597C26—44no—
598C26—44no—
599C26—44no—
600C26—44no—
601C26#41116yes—
602C26C2411yescharacteristic
603C26C2411yescharacteristic
604C26C2411yescharacteristic
605C26C2411yescharacteristic
606C26C2411yescharacteristic
607C26C24112yes—
608C26C2411yescharacteristic
609C26C24112yes—
610C23×Q8—28no—
611C23×Q8—44no—
612C23×Q8—44no—
613C23×Q8C24112yes—
614C23×D4—28no—
615C23×D4—28no—
616C23×D4—28no—
617C23×D4—2192no—
618C23×D4—28no—
619C23×D4—28no—
620C23×D4—28no—
621C23×D4—28no—
622C23×D4—28no—
623C23×D4—28no—
624C23×D4—28no—
625C23×D4—28no—
626C23×D4—28no—
627C23×D4—28no—
628C23×D4—28no—
629C23×D4—496no—
630C23×D4—44no—
631C23×D4—44no—
632C23×D4—44no—
633C23×D4—44no—
634C23×D4—44no—
635C23×D4—44no—
636C23×D4—44no—
637C23×D4—44no—
638C23×D4—44no—
639C23×D4—44no—
640C23×D4—44no—
641C23×D4—44no—
642C23×D4—44no—
643C23×D4—496no—
644C23×D4—4256no—
645C23×D4C24112yes—
646C23×D4C24112yes—
647C23×D4C24112yes—
648C23×D4C24112yes—
649C23×D4C24164yes—
650C23×D4C24112yes—
651C23×D4C24112yes—
652C23×D4C24112yes—
653C23×D4C24112yes—
654C23×D4C24112yes—
655C24×C4—28no—
656C24×C4—28no—
657C24×C4—28no—
658C24×C4—28no—
659C24×C4—28no—
660C24×C4—28no—
661C24×C4—28no—
662C24×C4—28no—
663C24×C4—28no—
664C24×C4—44no—
665C24×C4—44no—
666C24×C4—44no—
667C24×C4—44no—
668C24×C4—44no—
669C24×C4—44no—
670C24×C4—44no—
671C24×C4—44no—
672C24×C4—44no—
673C24×C4—44no—
674C24×C4—44no—
675C24×C4—44no—
676C24×C4—44no—
677C24×C4—44no—
678C24×C4—44no—
679C24×C4—44no—
680C24×C4—44no—
681C24×C4—44no—
682C24×C4—44no—
683C24×C4—44no—
684C24×C4—44no—
685C24×C4—44no—
686C24×C4—44no—
687C24×C4—44no—
688C24×C4—44no—
689C24×C4—44no—
690C24×C4—44no—
691C24×C4C2411yescharacteristic
692C24×C4C2411yescharacteristic
693C24×C4C2411yescharacteristic
694C24×C4C2411yescharacteristic
695C24×C4C2411yescharacteristic
696C24×C4C2411yescharacteristic
697C24×C4C2411yescharacteristic
698C24×C4C2411yescharacteristic
699C24×C4C2411yescharacteristic
700C24×C4C2411yescharacteristic
701C24×C4C2411yescharacteristic
702C24×C4C2411yescharacteristic
703C24×C4C2411yescharacteristic
704C24×C4C2411yescharacteristic
705C24×C4C2411yescharacteristic
706C24×C4C2411yescharacteristic
707C24×C4C2411yescharacteristic
708C24×C4C2411yescharacteristic
709C24×C4C2411yescharacteristic
710C24×C4C2411yescharacteristic
711C24×C4C2411yescharacteristic
712C24×C4C2411yescharacteristic
713C24×C4C2411yescharacteristic
714C24×C4C24112yes—
715C24×C4C24112yes—
716C24×C4C2411yescharacteristic
717C24×C4C2411yescharacteristic
718C24×C4C24112yes—
719C24×C4C24112yes—
720C24×C4C24112yes—
721C24×C4C24112yes—
722C24×C4C24112yes—
723C24×C4C24112yes—
724C24×C4C24112yes—
725C24×C4C24112yes—
726C24×C4C24112yes—
727C24×C4C24112yes—
728C2×#126—496no—
729C2×#126C24164yescomplemented
730C2×#125—496no—
731C2×#125C24164yescomplemented
732C2×#123—496no—
733C2×#123—496no—
734C2×#123C24164yescomplemented
735C2×#123C24164yescomplemented
736C2×C22⋊Q8—496no—
737C2×C22⋊Q8—496no—
738C2×C22⋊Q8—496no—
739C2×C22⋊Q8—496no—
740C2×C22⋊Q8C24164yes—
741C2×C22⋊Q8C24164yescomplemented
742C2×C22⋊Q8C24164yescomplemented
743C2×C22⋊Q8C24164yescomplemented
744C2×#121—496no—
745C2×#121—496no—
746C2×#121C24164yes—
747C2×#121C24164yes—
748C2×#120—2192no—
749C2×#120—496no—
750C2×#120C24164yes—
751C2×#120C24164yes—
752C2×C4×D4—496no—
753C2×C4×D4—496no—
754C2×C4×D4—496no—
755C2×C4×D4—496no—
756C2×C4×D4C24164yes—
757C2×C4×D4C24164yes—
758C2×C4×D4C24164yes—
759C2×C4×D4C24164yescomplemented
760C22×C4⋊C4—28no—
761C22×C4⋊C4—28no—
762C22×C4⋊C4—28no—
763C22×C4⋊C4—28no—
764C22×C4⋊C4—28no—
765C22×C4⋊C4—28no—
766C22×C4⋊C4—496no—
767C22×C4⋊C4—44no—
768C22×C4⋊C4—44no—
769C22×C4⋊C4—44no—
770C22×C4⋊C4—44no—
771C22×C4⋊C4—44no—
772C22×C4⋊C4—44no—
773C22×C4⋊C4—44no—
774C22×C4⋊C4—44no—
775C22×C4⋊C4—44no—
776C22×C4⋊C4—44no—
777C22×C4⋊C4—44no—
778C22×C4⋊C4—44no—
779C22×C4⋊C4—44no—
780C22×C4⋊C4—44no—
781C22×C4⋊C4—44no—
782C22×C4⋊C4—44no—
783C22×C4⋊C4—44no—
784C22×C4⋊C4—44no—
785C22×C4⋊C4—44no—
786C22×C4⋊C4—44no—
787C22×C4⋊C4—44no—
788C22×C4⋊C4—44no—
789C22×C4⋊C4—44no—
790C22×C4⋊C4—44no—
791C22×C4⋊C4—44no—
792C22×C4⋊C4—44no—
793C22×C4⋊C4C24112yes—
794C22×C4⋊C4C24112yes—
795C22×C4⋊C4C24112yes—
796C22×C4⋊C4C24112yes—
797C22×C4⋊C4C24112yes—
798C22×C4⋊C4C24112yes—
799C22×C4⋊C4C24112yes—
800C22×C4⋊C4C24112yes—
801C22×C4⋊C4C24112yes—
802C22×C4⋊C4C24164yes—
803C22×C4⋊C4C24112yes—
804C22×C4⋊C4C24112yes—
805C22×C4⋊C4C24112yes—
806C22×C4⋊C4C24112yes—
807C22×C4⋊C4C24112yes—
808C22×C4⋊C4C24112yes—
809C22×C4⋊C4C24112yes—
810C22×C4⋊C4C24112yes—
811C22×C4⋊C4C24112yes—
812C22×C4⋊C4C24112yes—
813C22×C4⋊C4C24112yes—
814C22×C4⋊C4C24112yes—
815C22×C4⋊C4C24112yes—
816C22×C4⋊C4C24112yes—
817C22×C4⋊C4C24112yes—
818C22×C4⋊C4C24112yes—
819C22×C4⋊C4C24112yes—
820C22×C4⋊C4C24112yes—
821C22×C4⋊C4C24112yes—
822C22×C4⋊C4C24112yes—
823C22×C4⋊C4C24112yes—
824C22×C4⋊C4C24112yes—
825C22×C4⋊C4C24112yes—
826C22×C22⋊C4—28no—
827C22×C22⋊C4—28no—
828C22×C22⋊C4—28no—
829C22×C22⋊C4—28no—
830C22×C22⋊C4—2192no—
831C22×C22⋊C4—28no—
832C22×C22⋊C4—28no—
833C22×C22⋊C4—28no—
834C22×C22⋊C4—28no—
835C22×C22⋊C4—28no—
836C22×C22⋊C4—28no—
837C22×C22⋊C4—28no—
838C22×C22⋊C4—28no—
839C22×C22⋊C4—28no—
840C22×C22⋊C4—28no—
841C22×C22⋊C4—28no—
842C22×C22⋊C4—28no—
843C22×C22⋊C4—28no—
844C22×C22⋊C4—28no—
845C22×C22⋊C4—28no—
846C22×C22⋊C4—28no—
847C22×C22⋊C4—28no—
848C22×C22⋊C4—28no—
849C22×C22⋊C4—496no—
850C22×C22⋊C4—496no—
851C22×C22⋊C4—496no—
852C22×C22⋊C4—496no—
853C22×C22⋊C4—496no—
854C22×C22⋊C4—496no—
855C22×C22⋊C4—44no—
856C22×C22⋊C4—44no—
857C22×C22⋊C4—44no—
858C22×C22⋊C4—44no—
859C22×C22⋊C4—44no—
860C22×C22⋊C4—44no—
861C22×C22⋊C4—44no—
862C22×C22⋊C4—44no—
863C22×C22⋊C4—44no—
864C22×C22⋊C4—44no—
865C22×C22⋊C4—44no—
866C22×C22⋊C4—44no—
867C22×C22⋊C4—44no—
868C22×C22⋊C4—44no—
869C22×C22⋊C4—44no—
870C22×C22⋊C4—44no—
871C22×C22⋊C4—44no—
872C22×C22⋊C4—44no—
873C22×C22⋊C4—44no—
874C22×C22⋊C4—44no—
875C22×C22⋊C4—44no—
876C22×C22⋊C4—44no—
877C22×C22⋊C4—44no—
878C22×C22⋊C4—44no—
879C22×C22⋊C4—44no—
880C22×C22⋊C4—44no—
881C22×C22⋊C4—44no—
882C22×C22⋊C4—44no—
883C22×C22⋊C4—44no—
884C22×C22⋊C4—44no—
885C22×C22⋊C4—44no—
886C22×C22⋊C4—44no—
887C22×C22⋊C4C24164yes—
888C22×C22⋊C4C24112yes—
889C22×C22⋊C4C24112yes—
890C22×C22⋊C4C24112yes—
891C22×C22⋊C4C24112yes—
892C22×C22⋊C4C24112yes—
893C22×C22⋊C4C24112yes—
894C22×C22⋊C4C24112yes—
895C22×C22⋊C4C24112yes—
896C22×C22⋊C4C24112yes—
897C22×C22⋊C4C24112yes—
898C22×C22⋊C4C24112yes—
899C22×C22⋊C4C24112yes—
900C22×C22⋊C4C24112yes—
901C22×C22⋊C4C24112yes—
902C22×C22⋊C4C24112yes—
903C22×C22⋊C4C24112yes—
904C22×C22⋊C4C24112yes—
905C22×C22⋊C4C24112yes—
906C22×C22⋊C4C24112yes—
907C22×C22⋊C4C24112yes—
908C22×C22⋊C4C24112yes—
909C22×C22⋊C4C24112yes—
910C22×C22⋊C4C24164yes—
911C22×C22⋊C4C24164yes—
912C22×C22⋊C4C24164yes—
913C22×C22⋊C4C24164yes—
914C22×C22⋊C4C24112yes—
915C22×C22⋊C4C24112yes—
916C22×C22⋊C4C24112yes—
917C22×C22⋊C4C24112yes—
918C22×C22⋊C4C24112yes—
919C22×C22⋊C4C24112yes—
920C22×C22⋊C4C24112yes—
921C22×C22⋊C4C24112yes—
922C22×C22⋊C4C24112yes—
923C22×C22⋊C4C24112yes—
924C22×C22⋊C4C24112yes—
925C22×C22⋊C4C24112yes—
926C22×C22⋊C4C24112yes—
927C22×C22⋊C4C24112yes—
928C22×C22⋊C4C24112yes—
929C22×C22⋊C4C24112yes—
930C22×C22⋊C4C24112yes—
931C22×C22⋊C4C24112yes—
932C22×C22⋊C4C24112yes—
933C22×C22⋊C4C24112yes—
934C22×C22⋊C4C24112yes—
935C22×C22⋊C4C24164yes—
936C22×C22⋊C4C24164yes—
937C22×C22⋊C4C24112yes—
938C22×C22⋊C4C24112yes—
939C22×C22⋊C4C24112yes—
940C22×C22⋊C4C24112yes—
941C22×C22⋊C4C24112yes—
942C22×C22⋊C4C24112yes—
943C22×C22⋊C4C24112yes—
944C22×C22⋊C4C24112yes—
945C22×C22⋊C4C24112yes—
946C22×C22⋊C4C24112yes—
947C22×C22⋊C4C24112yes—
948C22×C42—28no—
949C22×C42—44no—
950C22×C42—44no—
951C22×C42—44no—
952C22×C42—44no—
953C22×C42C24112yes—
954C22×C42C24112yes—
955C22×C42C24112yes—
956C22×C42C24112yes—
957C22×C42C24112yes—
958#401C24164yescomplemented
959#400C24164yescomplemented
960#400C24164yescomplemented
961#400C24164yescomplemented
962#400C24164yescomplemented
963#399C24164yescomplemented
964#399C24164yescomplemented
965#399C24164yescomplemented
966#398C24164yescomplemented
967#398C24164yescomplemented
968#398C24164yescomplemented
969#398C24164yescomplemented
970#398C24164yescomplemented
971#398C24164yescomplemented
972#398C24164yescomplemented
973#397C24164yescomplemented
974#397C24164yescomplemented
975#397C24164yescomplemented
976#397C24164yescomplemented
977#397C24164yescomplemented
978#397C24164yescomplemented
979#397C24164yescomplemented
980#397C24164yescomplemented
981#397C24164yescomplemented
982#397C24164yescomplemented
983#397C24164yescomplemented
984#397C24164yescomplemented
985#396C24164yescomplemented
986#396C24164yescomplemented
987#396C24164yescomplemented
988#396C24164yescomplemented
989#396C24164yescomplemented
990#396C24164yescomplemented
991#396C24164yescomplemented
992#394C24164yes—
993#394C24164yes—
994#394C24164yes—
995#394C24164yes—
996#394C24164yes—
997#394C24164yes—
998#394C24164yes—
999#394C24164yes—
1000#394C24164yes—
1001#394C24164yes—
1002#394C24164yescomplemented
1003#394C24164yescomplemented
1004#394C24164yescomplemented
1005#394C24164yescomplemented
1006#394C24164yescomplemented
1007#394C24164yescomplemented
1008#394C24164yescomplemented
1009#394C24164yescomplemented
1010#393C24164yescomplemented
1011#393C24164yescomplemented
1012#392C24164yes—
1013#392C24164yes—
1014#391C24164yescomplemented
1015#390C24164yes—
1016#390C24164yes—
1017#390C24164yescomplemented
1018#389C24164yescomplemented
1019#389C24164yescomplemented
1020#388C24164yescomplemented
1021#388C24164yescomplemented
1022#388C24164yescomplemented
1023#388C24164yescomplemented
1024#388C24164yescomplemented
1025#388C24164yescomplemented
1026#388C24164yescomplemented
1027#388C24164yescomplemented
1028#388C24164yescomplemented
1029#387C24164yescomplemented
1030#387C24164yescomplemented
1031#387C24164yescomplemented
1032#387C24164yescomplemented
1033#387C24164yescomplemented
1034#387C24164yescomplemented
1035#387C24164yescomplemented
1036#386C24164yes—
1037#386C24164yes—
1038#386C24164yes—
1039#386C24164yes—
1040#386C24164yes—
1041#386C24164yes—
1042#386C24164yes—
1043#386C24164yes—
1044#386C24164yes—
1045#386C24164yes—
1046#386C24164yescomplemented
1047#386C24164yescomplemented
1048#386C24164yescomplemented
1049#386C24164yescomplemented
1050#385C24164yes—
1051#385C24164yes—
1052#385C24164yes—
1053#385C24164yes—
1054#385C24164yes—
1055#385C24164yes—
1056#385C24164yescomplemented
1057#385C24164yescomplemented
1058#385C24164yescomplemented
1059#385C24164yescomplemented
1060#385C24164yescomplemented
1061#385C24164yescomplemented
1062#385C24164yescomplemented
1063#385C24164yescomplemented
1064#385C24164yescomplemented
1065#385C24164yescomplemented
1066#385C24164yescomplemented
1067#385C24164yescomplemented
1068#385C24164yescomplemented
1069#385C24164yescomplemented
1070#383C24164yescomplemented
1071#381C24164yescomplemented
1072#380C24164yes—
1073#380C24164yes—
1074#380C24164yes—
1075#380C24164yes—
1076#380C24164yes—
1077#380C24164yes—
1078#380C24164yescomplemented
1079#380C24164yescomplemented
1080#380C24164yescomplemented
1081#379C24164yes—
1082#379C24164yes—
1083#379C24164yes—
1084C4×C22⋊C4C24164yes—
1085C4×C22⋊C4C24164yes—
1086C4×C22⋊C4C24164yescomplemented
1087C2×#95C24164yes—
1088C2×#95C24112yes—
1089C2×#95C24112yes—
1090C2×#95C24112yes—
1091C2×#95C24112yes—
1092C2×#95C24112yes—
1093C2×#95C24112yes—
1094C2×#95C24112yes—
1095C2×#95C24112yes—
1096C2×#95C24112yes—
1097C2×#95C24112yes—
1098C2×#95C24112yes—
1099C2×#95C24112yes—
1100C2×#95C24112yes—
1101C2×#95C24112yes—
1102C2×#95C24112yes—
1103C2×#95C24112yes—
1104C2×#95C24112yes—
1105C2×#95C24112yes—
1106C2×#95C24112yes—
1107C2×#95C24112yes—
1108C2×#95C24112yes—
1109C2×#95C24112yes—
1110C2×#95C24112yes—
1111C2×#95C24112yes—
1112C2×#95C24112yes—
1113C2×#95C24112yes—
1114C2×#95C24112yes—
1115C2×#95C24112yes—
1116C2×#95C24112yes—
1117C2×#95C24112yes—
1118C2×#95C24112yes—
1119C2×#95C24112yes—
1120C2×#95C24112yes—
1121C2×#95C24112yes—
1122C2×#95C24112yes—
1123C2×#95C24112yes—
1124C2×#95C24112yes—
1125C2×#95C24112yes—
1126C2×#95C24112yes—
1127C2×#95C24112yes—
1128C25—24no—
1129C25—24no—
1130C25—24no—
1131C25—24no—
1132C25—24no—
1133C25—24no—
1134C25—24no—
1135C25—24no—
1136C25—24no—
1137C25—24no—
1138C25—24no—
1139C25—24no—
1140C25—24no—
1141C25—24no—
1142C25—24no—
1143C25—24no—
1144C25—24no—
1145C25—24no—
1146C25—24no—
1147C25—24no—
1148C25—24no—
1149C25—24no—
1150C25—2128no—
1151C25—248no—
1152C25—248no—
1153C25—24no—
1154C25—24no—
1155C25—24no—
1156C25—24no—
1157C25—24no—
1158C25—24no—
1159C25—24no—
1160C25—248no—
1161C25—24no—
1162C25—24no—
1163C25—24no—
1164C25—24no—
1165C25—24no—
1166C25—24no—
1167C25—24no—
1168C25—248no—
1169C25—248no—
1170C25—248no—
1171C25—424no—
1172C25—424no—
1173C25—464no—
1174C25—424no—
1175C25—424no—
1176C25—424no—
1177C25—464no—
1178C25—424no—
1179C25—424no—
1180C25—464no—
1181C25—464no—
1182C25—464no—
1183C25—464no—
1184C25—832no—
1185C25—832no—
1186C25—832no—
1187C25—832no—
1188C25—832no—
1189C25—832no—
1190C25—832no—
1191C25C2×#4118yes—
1192C25C2×#4118yes—
1193C25C2×#4118yes—
1194C25C2×#41196yes—
1195C25H(5,𝔽2)18yes—
1196C25H(5,𝔽2)18yes—
1197C252−1+418yes—
1198C25C2516yes—
1199C25C2516yes—
1200C25C2516yes—
1201C25C2516yes—
1202C25C2516yes—
1203C25C25116yes—
1204C25C2516yes—
1205C25C25116yes—
1206C25C2511yescharacteristic
1207C22×Q8—248no—
1208C22×Q8—424no—
1209C22×Q8—424no—
1210C22×Q8—832no—
1211C22×Q8C25116yes—
1212C22×D4—2128no—
1213C22×D4—248no—
1214C22×D4—248no—
1215C22×D4—248no—
1216C22×D4—248no—
1217C22×D4—248no—
1218C22×D4—2256no—
1219C22×D4—248no—
1220C22×D4—248no—
1221C22×D4—248no—
1222C22×D4—248no—
1223C22×D4—248no—
1224C22×D4—248no—
1225C22×D4—248no—
1226C22×D4—248no—
1227C22×D4—248no—
1228C22×D4—4128no—
1229C22×D4—424no—
1230C22×D4—424no—
1231C22×D4—424no—
1232C22×D4—424no—
1233C22×D4—424no—
1234C22×D4—424no—
1235C22×D4—464no—
1236C22×D4—424no—
1237C22×D4—424no—
1238C22×D4—424no—
1239C22×D4—424no—
1240C22×D4—424no—
1241C22×D4—424no—
1242C22×D4—424no—
1243C22×D4—4128no—
1244C22×D4—41536no—
1245C22×D4—464no—
1246C22×D4—464no—
1247C22×D4—464no—
1248C22×D4—464no—
1249C22×D4—832no—
1250C22×D4—832no—
1251C22×D4—832no—
1252C22×D4C25116yes—
1253C22×D4C25116yes—
1254C22×D4C25116yes—
1255C22×D4C25116yes—
1256C22×D4C25116yes—
1257C22×D4C25116yes—
1258C22×D4C25116yes—
1259C22×D4C25116yes—
1260C22×D4C25116yes—
1261C23×C4—24no—
1262C23×C4—24no—
1263C23×C4—24no—
1264C23×C4—24no—
1265C23×C4—24no—
1266C23×C4—24no—
1267C23×C4—24no—
1268C23×C4—24no—
1269C23×C4—24no—
1270C23×C4—24no—
1271C23×C4—24no—
1272C23×C4—248no—
1273C23×C4—24no—
1274C23×C4—24no—
1275C23×C4—24no—
1276C23×C4—24no—
1277C23×C4—24no—
1278C23×C4—24no—
1279C23×C4—24no—
1280C23×C4—24no—
1281C23×C4—24no—
1282C23×C4—24no—
1283C23×C4—24no—
1284C23×C4—24no—
1285C23×C4—24no—
1286C23×C4—24no—
1287C23×C4—24no—
1288C23×C4—24no—
1289C23×C4—24no—
1290C23×C4—24no—
1291C23×C4—24no—
1292C23×C4—24no—
1293C23×C4—24no—
1294C23×C4—24no—
1295C23×C4—24no—
1296C23×C4—24no—
1297C23×C4—24no—
1298C23×C4—24no—
1299C23×C4—24no—
1300C23×C4—24no—
1301C23×C4—24no—
1302C23×C4—24no—
1303C23×C4—24no—
1304C23×C4—24no—
1305C23×C4—24no—
1306C23×C4—24no—
1307C23×C4—24no—
1308C23×C4—24no—
1309C23×C4—24no—
1310C23×C4—24no—
1311C23×C4—24no—
1312C23×C4—24no—
1313C23×C4—24no—
1314C23×C4—24no—
1315C23×C4—24no—
1316C23×C4—24no—
1317C23×C4—24no—
1318C23×C4—24no—
1319C23×C4—24no—
1320C23×C4—24no—
1321C23×C4—248no—
1322C23×C4—24no—
1323C23×C4—24no—
1324C23×C4—24no—
1325C23×C4—24no—
1326C23×C4—24no—
1327C23×C4—24no—
1328C23×C4—24no—
1329C23×C4—24no—
1330C23×C4—24no—
1331C23×C4—24no—
1332C23×C4—24no—
1333C23×C4—24no—
1334C23×C4—24no—
1335C23×C4—24no—
1336C23×C4—248no—
1337C23×C4—248no—
1338C23×C4—248no—
1339C23×C4—248no—
1340C23×C4—248no—
1341C23×C4—248no—
1342C23×C4—248no—
1343C23×C4—424no—
1344C23×C4—424no—
1345C23×C4—424no—
1346C23×C4—424no—
1347C23×C4—424no—
1348C23×C4—424no—
1349C23×C4—424no—
1350C23×C4—424no—
1351C23×C4—424no—
1352C23×C4—424no—
1353C23×C4—424no—
1354C23×C4—424no—
1355C23×C4—424no—
1356C23×C4—424no—
1357C23×C4—424no—
1358C23×C4—424no—
1359C23×C4—424no—
1360C23×C4—424no—
1361C23×C4—424no—
1362C23×C4—424no—
1363C23×C4—424no—
1364C23×C4—424no—
1365C23×C4—424no—
1366C23×C4—424no—
1367C23×C4—424no—
1368C23×C4—424no—
1369C23×C4—424no—
1370C23×C4—464no—
1371C23×C4—464no—
1372C23×C4—832no—
1373C23×C4—832no—
1374C23×C4—832no—
1375C23×C4—832no—
1376C23×C4—832no—
1377C23×C4—832no—
1378C23×C4—832no—
1379C23×C4—832no—
1380C23×C4—832no—
1381C23×C4—832no—
1382C23×C4H(5,𝔽2)18yes—
1383C23×C4H(5,𝔽2)18yes—
1384C23×C4C2516yes—
1385C23×C4C2516yes—
1386C23×C4C2516yes—
1387C23×C4C2516yes—
1388C23×C4C2516yes—
1389C23×C4C2516yes—
1390C23×C4C2516yes—
1391C23×C4C2516yes—
1392C23×C4C2516yes—
1393C23×C4C2516yes—
1394C23×C4C2516yes—
1395C23×C4C2516yes—
1396C23×C4C2516yes—
1397C23×C4C2516yes—
1398C23×C4C2516yes—
1399C23×C4C2516yes—
1400C23×C4C2516yes—
1401C23×C4C2516yes—
1402C23×C4C2516yes—
1403C23×C4C2516yes—
1404C23×C4C2516yes—
1405C23×C4C2516yes—
1406C23×C4C2516yes—
1407C23×C4C25116yes—
1408C23×C4C25116yes—
1409C23×C4C2516yes—
1410C23×C4C2516yes—
1411C23×C4C25116yes—
1412C23×C4C25116yes—
1413C23×C4C25116yes—
1414C23×C4C25116yes—
1415C23×C4C25116yes—
1416C23×C4C25116yes—
1417C23×C4C25116yes—
1418C23×C4C25116yes—
1419C23×C4C25116yes—
1420C23×C4C25116yes—
1421#126—4128no—
1422#125—4128no—
1423#123—4128no—
1424#123—4128no—
1425C22⋊Q8—4128no—
1426C22⋊Q8—4128no—
1427C22⋊Q8—4128no—
1428C22⋊Q8—4128no—
1429#121—4128no—
1430#121—4128no—
1431#120—2256no—
1432#120—4128no—
1433C4×D4—4128no—
1434C4×D4—4128no—
1435C4×D4—4128no—
1436C4×D4—4128no—
1437C2×C4⋊C4—248no—
1438C2×C4⋊C4—248no—
1439C2×C4⋊C4—248no—
1440C2×C4⋊C4—248no—
1441C2×C4⋊C4—248no—
1442C2×C4⋊C4—248no—
1443C2×C4⋊C4—4128no—
1444C2×C4⋊C4—424no—
1445C2×C4⋊C4—424no—
1446C2×C4⋊C4—424no—
1447C2×C4⋊C4—424no—
1448C2×C4⋊C4—424no—
1449C2×C4⋊C4—424no—
1450C2×C4⋊C4—424no—
1451C2×C4⋊C4—424no—
1452C2×C4⋊C4—424no—
1453C2×C4⋊C4—424no—
1454C2×C4⋊C4—424no—
1455C2×C4⋊C4—424no—
1456C2×C4⋊C4—424no—
1457C2×C4⋊C4—424no—
1458C2×C4⋊C4—424no—
1459C2×C4⋊C4—424no—
1460C2×C4⋊C4—424no—
1461C2×C4⋊C4—424no—
1462C2×C4⋊C4—424no—
1463C2×C4⋊C4—424no—
1464C2×C4⋊C4—424no—
1465C2×C4⋊C4—424no—
1466C2×C4⋊C4—424no—
1467C2×C4⋊C4—424no—
1468C2×C4⋊C4—424no—
1469C2×C4⋊C4—424no—
1470C2×C4⋊C4C25116yes—
1471C2×C4⋊C4C25116yes—
1472C2×C4⋊C4C25116yes—
1473C2×C4⋊C4C25116yes—
1474C2×C4⋊C4C25116yes—
1475C2×C4⋊C4C25116yes—
1476C2×C4⋊C4C25116yes—
1477C2×C4⋊C4C25116yes—
1478C2×C4⋊C4C25116yes—
1479C2×C4⋊C4C25116yes—
1480C2×C4⋊C4C25116yes—
1481C2×C4⋊C4C25116yes—
1482C2×C4⋊C4C25116yes—
1483C2×C4⋊C4C25116yes—
1484C2×C4⋊C4C25116yes—
1485C2×C4⋊C4C25116yes—
1486C2×C4⋊C4C25116yes—
1487C2×C4⋊C4C25116yes—
1488C2×C4⋊C4C25116yes—
1489C2×C4⋊C4C25116yes—
1490C2×C4⋊C4C25116yes—
1491C2×C4⋊C4C25116yes—
1492C2×C4⋊C4C25116yes—
1493C2×C4⋊C4C25116yes—
1494C2×C4⋊C4C25116yes—
1495C2×C4⋊C4C25116yes—
1496C2×C4⋊C4C25116yes—
1497C2×C4⋊C4C25116yes—
1498C2×C4⋊C4C25116yes—
1499C2×C4⋊C4C25116yes—
1500C2×C4⋊C4C25116yes—
1501C2×C4⋊C4C25116yes—
1502C2×C22⋊C4—248no—
1503C2×C22⋊C4—248no—
1504C2×C22⋊C4—248no—
1505C2×C22⋊C4—248no—
1506C2×C22⋊C4—2256no—
1507C2×C22⋊C4—248no—
1508C2×C22⋊C4—248no—
1509C2×C22⋊C4—248no—
1510C2×C22⋊C4—248no—
1511C2×C22⋊C4—248no—
1512C2×C22⋊C4—248no—
1513C2×C22⋊C4—248no—
1514C2×C22⋊C4—248no—
1515C2×C22⋊C4—248no—
1516C2×C22⋊C4—248no—
1517C2×C22⋊C4—248no—
1518C2×C22⋊C4—248no—
1519C2×C22⋊C4—248no—
1520C2×C22⋊C4—248no—
1521C2×C22⋊C4—248no—
1522C2×C22⋊C4—248no—
1523C2×C22⋊C4—248no—
1524C2×C22⋊C4—248no—
1525C2×C22⋊C4—4128no—
1526C2×C22⋊C4—4128no—
1527C2×C22⋊C4—4128no—
1528C2×C22⋊C4—4128no—
1529C2×C22⋊C4—4128no—
1530C2×C22⋊C4—4128no—
1531C2×C22⋊C4—424no—
1532C2×C22⋊C4—424no—
1533C2×C22⋊C4—424no—
1534C2×C22⋊C4—424no—
1535C2×C22⋊C4—424no—
1536C2×C22⋊C4—424no—
1537C2×C22⋊C4—424no—
1538C2×C22⋊C4—424no—
1539C2×C22⋊C4—424no—
1540C2×C22⋊C4—424no—
1541C2×C22⋊C4—424no—
1542C2×C22⋊C4—424no—
1543C2×C22⋊C4—424no—
1544C2×C22⋊C4—424no—
1545C2×C22⋊C4—424no—
1546C2×C22⋊C4—424no—
1547C2×C22⋊C4—424no—
1548C2×C22⋊C4—424no—
1549C2×C22⋊C4—424no—
1550C2×C22⋊C4—424no—
1551C2×C22⋊C4—424no—
1552C2×C22⋊C4—424no—
1553C2×C22⋊C4—424no—
1554C2×C22⋊C4—424no—
1555C2×C22⋊C4—424no—
1556C2×C22⋊C4—424no—
1557C2×C22⋊C4—424no—
1558C2×C22⋊C4—424no—
1559C2×C22⋊C4—424no—
1560C2×C22⋊C4—424no—
1561C2×C22⋊C4—424no—
1562C2×C22⋊C4—424no—
1563C2×C22⋊C4C25116yes—
1564C2×C22⋊C4C25116yes—
1565C2×C22⋊C4C25116yes—
1566C2×C22⋊C4C25116yes—
1567C2×C22⋊C4C25116yes—
1568C2×C22⋊C4C25116yes—
1569C2×C22⋊C4C25116yes—
1570C2×C22⋊C4C25116yes—
1571C2×C22⋊C4C25116yes—
1572C2×C22⋊C4C25116yes—
1573C2×C22⋊C4C25116yes—
1574C2×C22⋊C4C25116yes—
1575C2×C22⋊C4C25116yes—
1576C2×C22⋊C4C25116yes—
1577C2×C22⋊C4C25116yes—
1578C2×C22⋊C4C25116yes—
1579C2×C22⋊C4C25116yes—
1580C2×C22⋊C4C25116yes—
1581C2×C22⋊C4C25116yes—
1582C2×C22⋊C4C25116yes—
1583C2×C22⋊C4C25116yes—
1584C2×C22⋊C4C25116yes—
1585C2×C22⋊C4C25116yes—
1586C2×C22⋊C4C25116yes—
1587C2×C22⋊C4C25116yes—
1588C2×C22⋊C4C25116yes—
1589C2×C22⋊C4C25116yes—
1590C2×C22⋊C4C25116yes—
1591C2×C22⋊C4C25116yes—
1592C2×C22⋊C4C25116yes—
1593C2×C22⋊C4C25116yes—
1594C2×C22⋊C4C25116yes—
1595C2×C22⋊C4C25116yes—
1596C2×C22⋊C4C25116yes—
1597C2×C22⋊C4C25116yes—
1598C2×C22⋊C4C25116yes—
1599C2×C22⋊C4C25116yes—
1600C2×C22⋊C4C25116yes—
1601C2×C22⋊C4C25116yes—
1602C2×C22⋊C4C25116yes—
1603C2×C22⋊C4C25116yes—
1604C2×C22⋊C4C25116yes—
1605C2×C22⋊C4C25116yes—
1606C2×C22⋊C4C25116yes—
1607C2×C22⋊C4C25116yes—
1608C2×C22⋊C4C25116yes—
1609C2×C22⋊C4C25116yes—
1610C2×C22⋊C4C25116yes—
1611C2×C22⋊C4C25116yes—
1612C2×C22⋊C4C25116yes—
1613C2×C22⋊C4C25116yes—
1614C2×C22⋊C4C25116yes—
1615C2×C22⋊C4C25116yes—
1616C2×C22⋊C4C25116yes—
1617C2×C42—248no—
1618C2×C42—424no—
1619C2×C42—424no—
1620C2×C42—424no—
1621C2×C42—424no—
1622C2×C42C25116yes—
1623C2×C42C25116yes—
1624C2×C42C25116yes—
1625C2×C42C25116yes—
1626C2×C42C25116yes—
1627#95C25116yes—
1628#95C25116yes—
1629#95C25116yes—
1630#95C25116yes—
1631#95C25116yes—
1632#95C25116yes—
1633#95C25116yes—
1634#95C25116yes—
1635#95C25116yes—
1636#95C25116yes—
1637#95C25116yes—
1638#95C25116yes—
1639#95C25116yes—
1640#95C25116yes—
1641#95C25116yes—
1642#95C25116yes—
1643#95C25116yes—
1644#95C25116yes—
1645#95C25116yes—
1646#95C25116yes—
1647#95C25116yes—
1648#95C25116yes—
1649#95C25116yes—
1650#95C25116yes—
1651#95C25116yes—
1652#95C25116yes—
1653#95C25116yes—
1654#95C25116yes—
1655#95C25116yes—
1656#95C25116yes—
1657#95C25116yes—
1658#95C25116yes—
1659#95C25116yes—
1660#95C25116yes—
1661#95C25116yes—
1662#95C25116yes—
1663#95C25116yes—
1664#95C25116yes—
1665#95C25116yes—
1666#95C25116yes—
1667C24—212no—
1668C24—212no—
1669C24—212no—
1670C24—212no—
1671C24—232no—
1672C24—232no—
1673C24—232no—
1674C24—232no—
1675C24—232no—
1676C24—232no—
1677C24—212no—
1678C24—212no—
1679C24—212no—
1680C24—212no—
1681C24—212no—
1682C24—212no—
1683C24—212no—
1684C24—212no—
1685C24—212no—
1686C24—212no—
1687C24—212no—
1688C24—212no—
1689C24—212no—
1690C24—212no—
1691C24—212no—
1692C24—212no—
1693C24—212no—
1694C24—212no—
1695C24—232no—
1696C24—232no—
1697C24—232no—
1698C24—232no—
1699C24—232no—
1700C24—232no—
1701C24—232no—
1702C24—232no—
1703C24—232no—
1704C24—232no—
1705C24—232no—
1706C24—2384no—
1707C24—212no—
1708C24—212no—
1709C24—212no—
1710C24—212no—
1711C24—212no—
1712C24—212no—
1713C24—212no—
1714C24—232no—
1715C24—212no—
1716C24—212no—
1717C24—212no—
1718C24—212no—
1719C24—212no—
1720C24—212no—
1721C24—212no—
1722C24—232no—
1723C24—232no—
1724C24—232no—
1725C24—416no—
1726C24—416no—
1727C24—4192no—
1728C24—416no—
1729C24—416no—
1730C24—416no—
1731C24—4192no—
1732C24—416no—
1733C24—416no—
1734C24—4192no—
1735C24—4192no—
1736C24—4192no—
1737C24—416no—
1738C24—416no—
1739C24—416no—
1740C24—416no—
1741C24—416no—
1742C24—416no—
1743C24—416no—
1744C24—416no—
1745C24—416no—
1746C24—416no—
1747C24—416no—
1748C24—416no—
1749C24—416no—
1750C24—4192no—
1751C24—416no—
1752C24—416no—
1753C24—416no—
1754C24—416no—
1755C24—416no—
1756C24—416no—
1757C24—416no—
1758C24—416no—
1759C24—416no—
1760C24—416no—
1761C24—416no—
1762C24—416no—
1763C24—416no—
1764C24—896no—
1765C24—896no—
1766C24—896no—
1767C24—896no—
1768C24—896no—
1769C24—896no—
1770C24—896no—
1771C24—8512no—
1772C24—8512no—
1773C24#539164yes—
1774C24C22×#41124yes—
1775C24C22×#41124yes—
1776C24C22×#41124yes—
1777C24C22×#41164yes—
1778C24C22×#4114yes—
1779C24C2×H(5,𝔽2)124yes—
1780C24C2×H(5,𝔽2)124yes—
1781C24C2×H(5,𝔽2)14yes—
1782C24C2×H(5,𝔽2)14yes—
1783C24C2×H(5,𝔽2)14yes—
1784C24C2×H(5,𝔽2)14yes—
1785C24C2×2−1+4124yes—
1786C24C2×2−1+414yes—
1787C24#58514yes—
1788C24C2614yes—
1789C24C2614yes—
1790C24C2614yes—
1791C24C2614yes—
1792C24C2614yes—
1793C24C2614yes—
1794C24C2613yes—
1795C2×Q8—232no—
1796C2×Q8—416no—
1797C2×Q8—416no—
1798C2×Q8—896no—
1799C2×D4—2384no—
1800C2×D4—232no—
1801C2×D4—232no—
1802C2×D4—232no—
1803C2×D4—232no—
1804C2×D4—232no—
1805C2×D4—232no—
1806C2×D4—232no—
1807C2×D4—232no—
1808C2×D4—232no—
1809C2×D4—232no—
1810C2×D4—232no—
1811C2×D4—232no—
1812C2×D4—232no—
1813C2×D4—232no—
1814C2×D4—416no—
1815C2×D4—416no—
1816C2×D4—416no—
1817C2×D4—416no—
1818C2×D4—416no—
1819C2×D4—416no—
1820C2×D4—4192no—
1821C2×D4—416no—
1822C2×D4—416no—
1823C2×D4—416no—
1824C2×D4—416no—
1825C2×D4—416no—
1826C2×D4—416no—
1827C2×D4—416no—
1828C2×D4—41024no—
1829C2×D4—4192no—
1830C2×D4—4192no—
1831C2×D4—4192no—
1832C2×D4—4192no—
1833C2×D4—896no—
1834C2×D4—896no—
1835C2×D4—896no—
1836C22×C4—212no—
1837C22×C4—212no—
1838C22×C4—212no—
1839C22×C4—212no—
1840C22×C4—232no—
1841C22×C4—232no—
1842C22×C4—212no—
1843C22×C4—212no—
1844C22×C4—212no—
1845C22×C4—212no—
1846C22×C4—212no—
1847C22×C4—212no—
1848C22×C4—212no—
1849C22×C4—232no—
1850C22×C4—212no—
1851C22×C4—212no—
1852C22×C4—212no—
1853C22×C4—212no—
1854C22×C4—212no—
1855C22×C4—212no—
1856C22×C4—212no—
1857C22×C4—212no—
1858C22×C4—212no—
1859C22×C4—212no—
1860C22×C4—212no—
1861C22×C4—212no—
1862C22×C4—212no—
1863C22×C4—212no—
1864C22×C4—212no—
1865C22×C4—212no—
1866C22×C4—212no—
1867C22×C4—212no—
1868C22×C4—212no—
1869C22×C4—212no—
1870C22×C4—212no—
1871C22×C4—212no—
1872C22×C4—212no—
1873C22×C4—212no—
1874C22×C4—212no—
1875C22×C4—212no—
1876C22×C4—212no—
1877C22×C4—212no—
1878C22×C4—212no—
1879C22×C4—212no—
1880C22×C4—212no—
1881C22×C4—212no—
1882C22×C4—212no—
1883C22×C4—212no—
1884C22×C4—212no—
1885C22×C4—212no—
1886C22×C4—212no—
1887C22×C4—212no—
1888C22×C4—212no—
1889C22×C4—212no—
1890C22×C4—212no—
1891C22×C4—212no—
1892C22×C4—212no—
1893C22×C4—212no—
1894C22×C4—212no—
1895C22×C4—212no—
1896C22×C4—212no—
1897C22×C4—212no—
1898C22×C4—232no—
1899C22×C4—212no—
1900C22×C4—212no—
1901C22×C4—212no—
1902C22×C4—212no—
1903C22×C4—212no—
1904C22×C4—212no—
1905C22×C4—212no—
1906C22×C4—212no—
1907C22×C4—212no—
1908C22×C4—212no—
1909C22×C4—212no—
1910C22×C4—212no—
1911C22×C4—212no—
1912C22×C4—212no—
1913C22×C4—232no—
1914C22×C4—232no—
1915C22×C4—232no—
1916C22×C4—232no—
1917C22×C4—232no—
1918C22×C4—232no—
1919C22×C4—232no—
1920C22×C4—416no—
1921C22×C4—416no—
1922C22×C4—416no—
1923C22×C4—416no—
1924C22×C4—416no—
1925C22×C4—416no—
1926C22×C4—416no—
1927C22×C4—416no—
1928C22×C4—416no—
1929C22×C4—416no—
1930C22×C4—416no—
1931C22×C4—416no—
1932C22×C4—416no—
1933C22×C4—416no—
1934C22×C4—416no—
1935C22×C4—416no—
1936C22×C4—416no—
1937C22×C4—416no—
1938C22×C4—416no—
1939C22×C4—416no—
1940C22×C4—416no—
1941C22×C4—416no—
1942C22×C4—416no—
1943C22×C4—416no—
1944C22×C4—416no—
1945C22×C4—416no—
1946C22×C4—416no—
1947C22×C4—4192no—
1948C22×C4—4192no—
1949C22×C4—416no—
1950C22×C4—416no—
1951C22×C4—416no—
1952C22×C4—416no—
1953C22×C4—416no—
1954C22×C4—416no—
1955C22×C4—416no—
1956C22×C4—416no—
1957C22×C4—416no—
1958C22×C4—416no—
1959C22×C4—416no—
1960C22×C4—416no—
1961C22×C4—416no—
1962C22×C4—416no—
1963C22×C4—416no—
1964C22×C4—416no—
1965C22×C4—416no—
1966C22×C4—416no—
1967C22×C4—416no—
1968C22×C4—416no—
1969C22×C4—416no—
1970C22×C4—416no—
1971C22×C4—416no—
1972C22×C4—896no—
1973C22×C4—896no—
1974C22×C4—896no—
1975C22×C4—896no—
1976C22×C4—896no—
1977C22×C4—896no—
1978C22×C4—896no—
1979C22×C4—896no—
1980C22×C4—896no—
1981C22×C4—896no—
1982C22×C4C2×H(5,𝔽2)124yes—
1983C22×C4C2×H(5,𝔽2)124yes—
1984C22×C4C2614yes—
1985C22×C4C2614yes—
1986C22×C4C2614yes—
1987C22×C4C2614yes—
1988C22×C4C2614yes—
1989C22×C4C2614yes—
1990C22×C4C2614yes—
1991C22×C4C2614yes—
1992C22×C4C2614yes—
1993C22×C4C2614yes—
1994C22×C4C2614yes—
1995C22×C4C2614yes—
1996C22×C4C2614yes—
1997C22×C4C2614yes—
1998C22×C4C2614yes—
1999C22×C4C2614yes—
2000C22×C4C2614yes—
2001C22×C4C2614yes—
2002C22×C4C2614yes—
2003C22×C4C2614yes—
2004C22×C4C2614yes—
2005C22×C4C2614yes—
2006C22×C4C2614yes—
2007C22×C4C2614yes—
2008C22×C4C2614yes—
2009C4⋊C4—232no—
2010C4⋊C4—232no—
2011C4⋊C4—232no—
2012C4⋊C4—232no—
2013C4⋊C4—232no—
2014C4⋊C4—232no—
2015C4⋊C4—416no—
2016C4⋊C4—416no—
2017C4⋊C4—416no—
2018C4⋊C4—416no—
2019C4⋊C4—416no—
2020C4⋊C4—416no—
2021C4⋊C4—416no—
2022C4⋊C4—416no—
2023C4⋊C4—416no—
2024C4⋊C4—416no—
2025C4⋊C4—416no—
2026C4⋊C4—416no—
2027C4⋊C4—416no—
2028C4⋊C4—416no—
2029C4⋊C4—416no—
2030C4⋊C4—416no—
2031C4⋊C4—416no—
2032C4⋊C4—416no—
2033C4⋊C4—416no—
2034C4⋊C4—416no—
2035C4⋊C4—416no—
2036C4⋊C4—416no—
2037C4⋊C4—416no—
2038C4⋊C4—416no—
2039C4⋊C4—416no—
2040C4⋊C4—416no—
2041C22⋊C4—232no—
2042C22⋊C4—232no—
2043C22⋊C4—232no—
2044C22⋊C4—232no—
2045C22⋊C4—232no—
2046C22⋊C4—232no—
2047C22⋊C4—232no—
2048C22⋊C4—232no—
2049C22⋊C4—232no—
2050C22⋊C4—232no—
2051C22⋊C4—232no—
2052C22⋊C4—232no—
2053C22⋊C4—232no—
2054C22⋊C4—232no—
2055C22⋊C4—232no—
2056C22⋊C4—232no—
2057C22⋊C4—232no—
2058C22⋊C4—232no—
2059C22⋊C4—232no—
2060C22⋊C4—232no—
2061C22⋊C4—232no—
2062C22⋊C4—232no—
2063C22⋊C4—416no—
2064C22⋊C4—416no—
2065C22⋊C4—416no—
2066C22⋊C4—416no—
2067C22⋊C4—416no—
2068C22⋊C4—416no—
2069C22⋊C4—416no—
2070C22⋊C4—416no—
2071C22⋊C4—416no—
2072C22⋊C4—416no—
2073C22⋊C4—416no—
2074C22⋊C4—416no—
2075C22⋊C4—416no—
2076C22⋊C4—416no—
2077C22⋊C4—416no—
2078C22⋊C4—416no—
2079C22⋊C4—416no—
2080C22⋊C4—416no—
2081C22⋊C4—416no—
2082C22⋊C4—416no—
2083C22⋊C4—416no—
2084C22⋊C4—416no—
2085C22⋊C4—416no—
2086C22⋊C4—416no—
2087C22⋊C4—416no—
2088C22⋊C4—416no—
2089C22⋊C4—416no—
2090C22⋊C4—416no—
2091C22⋊C4—416no—
2092C22⋊C4—416no—
2093C22⋊C4—416no—
2094C22⋊C4—416no—
2095C42—232no—
2096C42—416no—
2097C42—416no—
2098C42—416no—
2099C42—416no—
2100C23—248no—
2101C23—248no—
2102C23—248no—
2103C23—248no—
2104C23—248no—
2105C23—248no—
2106C23—2256no—
2107C23—24no—
2108C23—24no—
2109C23—24no—
2110C23—24no—
2111C23—248no—
2112C23—248no—
2113C23—248no—
2114C23—248no—
2115C23—248no—
2116C23—248no—
2117C23—248no—
2118C23—24no—
2119C23—24no—
2120C23—24no—
2121C23—24no—
2122C23—24no—
2123C23—24no—
2124C23—24no—
2125C23—24no—
2126C23—24no—
2127C23—24no—
2128C23—24no—
2129C23—24no—
2130C23—24no—
2131C23—24no—
2132C23—24no—
2133C23—24no—
2134C23—24no—
2135C23—24no—
2136C23—248no—
2137C23—248no—
2138C23—2128no—
2139C23—24no—
2140C23—24no—
2141C23—24no—
2142C23—24no—
2143C23—24no—
2144C23—24no—
2145C23—24no—
2146C23—24no—
2147C23—24no—
2148C23—24no—
2149C23—24no—
2150C23—24no—
2151C23—24no—
2152C23—24no—
2153C23—464no—
2154C23—464no—
2155C23—464no—
2156C23—464no—
2157C23—464no—
2158C23—424no—
2159C23—424no—
2160C23—424no—
2161C23—424no—
2162C23—424no—
2163C23—424no—
2164C23—424no—
2165C23—424no—
2166C23—424no—
2167C23—424no—
2168C23—424no—
2169C23—4128no—
2170C23—4128no—
2171C23—4128no—
2172C23—424no—
2173C23—424no—
2174C23—424no—
2175C23—424no—
2176C23—424no—
2177C23—424no—
2178C23—424no—
2179C23—424no—
2180C23—424no—
2181C23—424no—
2182C23—424no—
2183C23—424no—
2184C23—424no—
2185C23—424no—
2186C23—464no—
2187C23—424no—
2188C23—832no—
2189C23—832no—
2190C23—832no—
2191C23—832no—
2192C23—832no—
2193C23—832no—
2194C23—832no—
2195C23—8768no—
2196C23—8768no—
2197C23—864no—
2198C23—864no—
2199C23C2×#539196yes—
2200C23C2×#539116yes—
2201C23#3490116yes—
2202C23#3505116yes—
2203C23#3534116yes—
2204C23#3536116yes—
2205C23#3537116yes—
2206C23#3561116yes—
2207C23C23×#4118yes—
2208C23C23×#4118yes—
2209C23C23×#4118yes—
2210C23C23×#4116yes—
2211C23C22×H(5,𝔽2)18yes—
2212C23C22×H(5,𝔽2)18yes—
2213C23C22×H(5,𝔽2)16yes—
2214C23C22×H(5,𝔽2)16yes—
2215C23C22×H(5,𝔽2)16yes—
2216C23C22×H(5,𝔽2)16yes—
2217C23C22×2−1+418yes—
2218C23C22×2−1+416yes—
2219C23C2×#58516yes—
2220C23C2711yescharacteristic
2221Q8—832no—
2222D4—2128no—
2223D4—464no—
2224D4—464no—
2225D4—464no—
2226D4—464no—
2227D4—464no—
2228D4—832no—
2229D4—832no—
2230D4—832no—
2231C2×C4—248no—
2232C2×C4—248no—
2233C2×C4—24no—
2234C2×C4—24no—
2235C2×C4—24no—
2236C2×C4—24no—
2237C2×C4—24no—
2238C2×C4—24no—
2239C2×C4—24no—
2240C2×C4—24no—
2241C2×C4—24no—
2242C2×C4—24no—
2243C2×C4—24no—
2244C2×C4—24no—
2245C2×C4—24no—
2246C2×C4—24no—
2247C2×C4—24no—
2248C2×C4—24no—
2249C2×C4—24no—
2250C2×C4—24no—
2251C2×C4—24no—
2252C2×C4—24no—
2253C2×C4—24no—
2254C2×C4—24no—
2255C2×C4—24no—
2256C2×C4—24no—
2257C2×C4—24no—
2258C2×C4—24no—
2259C2×C4—24no—
2260C2×C4—24no—
2261C2×C4—24no—
2262C2×C4—24no—
2263C2×C4—24no—
2264C2×C4—24no—
2265C2×C4—24no—
2266C2×C4—24no—
2267C2×C4—24no—
2268C2×C4—24no—
2269C2×C4—24no—
2270C2×C4—24no—
2271C2×C4—24no—
2272C2×C4—24no—
2273C2×C4—24no—
2274C2×C4—24no—
2275C2×C4—24no—
2276C2×C4—24no—
2277C2×C4—24no—
2278C2×C4—24no—
2279C2×C4—24no—
2280C2×C4—24no—
2281C2×C4—24no—
2282C2×C4—24no—
2283C2×C4—24no—
2284C2×C4—24no—
2285C2×C4—24no—
2286C2×C4—24no—
2287C2×C4—24no—
2288C2×C4—24no—
2289C2×C4—24no—
2290C2×C4—24no—
2291C2×C4—24no—
2292C2×C4—24no—
2293C2×C4—24no—
2294C2×C4—24no—
2295C2×C4—24no—
2296C2×C4—24no—
2297C2×C4—24no—
2298C2×C4—24no—
2299C2×C4—24no—
2300C2×C4—24no—
2301C2×C4—24no—
2302C2×C4—24no—
2303C2×C4—24no—
2304C2×C4—24no—
2305C2×C4—24no—
2306C2×C4—464no—
2307C2×C4—464no—
2308C2×C4—424no—
2309C2×C4—424no—
2310C2×C4—424no—
2311C2×C4—424no—
2312C2×C4—424no—
2313C2×C4—424no—
2314C2×C4—424no—
2315C2×C4—424no—
2316C2×C4—424no—
2317C2×C4—424no—
2318C2×C4—424no—
2319C2×C4—424no—
2320C2×C4—424no—
2321C2×C4—424no—
2322C2×C4—424no—
2323C2×C4—424no—
2324C2×C4—424no—
2325C2×C4—424no—
2326C2×C4—424no—
2327C2×C4—424no—
2328C2×C4—424no—
2329C2×C4—424no—
2330C2×C4—424no—
2331C2×C4—832no—
2332C2×C4—832no—
2333C2×C4—832no—
2334C2×C4—832no—
2335C2×C4—832no—
2336C2×C4—832no—
2337C2×C4—832no—
2338C2×C4—832no—
2339C2×C4—832no—
2340C2×C4—832no—
2341C2×C4C22×H(5,𝔽2)18yes—
2342C2×C4C22×H(5,𝔽2)18yes—
2343C22—28no—
2344C22—28no—
2345C22—28no—
2346C22—28no—
2347C22—28no—
2348C22—28no—
2349C22—2192no—
2350C22—28no—
2351C22—28no—
2352C22—28no—
2353C22—28no—
2354C22—28no—
2355C22—28no—
2356C22—28no—
2357C22—28no—
2358C22—28no—
2359C22—44no—
2360C22—44no—
2361C22—44no—
2362C22—44no—
2363C22—44no—
2364C22—44no—
2365C22—44no—
2366C22—44no—
2367C22—44no—
2368C22—44no—
2369C22—44no—
2370C22—44no—
2371C22—496no—
2372C22—496no—
2373C22—496no—
2374C22—44no—
2375C22—44no—
2376C22—44no—
2377C22—44no—
2378C22—44no—
2379C22—44no—
2380C22—44no—
2381C22—44no—
2382C22—44no—
2383C22—44no—
2384C22—44no—
2385C22—44no—
2386C22—44no—
2387C22—44no—
2388C22—8128no—
2389C22—8128no—
2390C22—848no—
2391C22—848no—
2392C22#40538164yesdirect product factor
2393C22C22×#539116yes—
2394C22C22×#539112yes—
2395C22C2×#3534112yes—
2396C22C2×#3536112yes—
2397C22C2×#3537112yes—
2398C22C2×#3561112yes—
2399C22C2×#3490112yes—
2400C22C2×#3505112yes—
2401C22C24×#4111yescharacteristic
2402C22C23×H(5,𝔽2)11yescharacteristic
2403C22C23×H(5,𝔽2)11yescharacteristic
2404C22C23×H(5,𝔽2)11yescharacteristic
2405C22C23×H(5,𝔽2)11yescharacteristic
2406C22C23×2−1+411yescharacteristic
2407C22C22×#58511yescharacteristic
2408C4—28no—
2409C4—28no—
2410C4—44no—
2411C4—44no—
2412C4—44no—
2413C4—44no—
2414C4—44no—
2415C4—44no—
2416C4—44no—
2417C4—44no—
2418C4—44no—
2419C4—44no—
2420C4—44no—
2421C4—44no—
2422C4—44no—
2423C4—44no—
2424C4—44no—
2425C4—44no—
2426C4—44no—
2427C4—44no—
2428C4—44no—
2429C4—44no—
2430C4—44no—
2431C4—44no—
2432C4—44no—
2433C2—216no—
2434C2—48no—
2435C2—48no—
2436C2—48no—
2437C2—84no—
2438C2—84no—
2439C2C2×#40538124yesdirect product factor
2440C2C23×#53911yescharacteristic
2441C2C22×#349011yescharacteristic
2442C2C22×#350511yescharacteristic
2443C2C22×#353411yescharacteristic
2444C2C22×#353611yescharacteristic
2445C2C22×#353711yescharacteristic
2446C2C22×#356111yescharacteristic
subgroupG/H
center, socleC25C25
commutator, Frattini, cosocleC23C27
prime radicalC22×#2410C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C25 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#40538C2direct (N × H)
2. C22×#2786C2semidirect
3. C22×#2757C2semidirect
4. C22×#2746C2semidirect
5. C22×#2728C2semidirect
6. C22×#2711C2semidirect
7. C22×#2708C2semidirect
8. C22×#2681C2semidirect
9. C22×#2691C2semidirect
10. C22×#2826C2semidirect
11. C22×#2827C2semidirect
12. C22×#2569C2semidirect
13. C22×#2510C2semidirect
14. C22×#2417C2semidirect
15. C22×#2466C2semidirect
16. C22×#2480C2semidirect
17. C22×#2473C2semidirect
18. C22×#2412C2semidirect
19. C22×#2463C2semidirect
20. C22×#2418C2semidirect
21. C22×#2437C2semidirect
22. C22×#2437C2semidirect
24. C22×#2633C2semidirect
25. C22×#2653C2semidirect
26. C22×#2630C2semidirect
27. C22×#2630C2semidirect
28. C22×#2622C2semidirect
29. C23×#394C2semidirect
30. C22×#2358C2semidirect
31. C22×D4×C22⋊C4C2semidirect
32. C22×#2315C2semidirect
34. C23×#126C22semidirect
35. C23×#125C22semidirect
36. C23×#123C22semidirect
37. C23×#123C22semidirect
39. C23×C22⋊Q8C22semidirect
40. C23×C22⋊Q8C22semidirect
41. C23×C22⋊Q8C22semidirect
49. C23×C4×D4C22semidirect
58. C2×#2786C22semidirect
59. C2×#2757C22semidirect
60. C2×#2746C22semidirect
61. C2×#2728C22semidirect
62. C2×#2711C22semidirect
63. C2×#2708C22semidirect
64. C2×#2691C22semidirect
65. C2×#2681C22semidirect
66. #40538C22direct (N × H)
67. C2×#2826C22semidirect
68. C2×#2827C22semidirect
69. C2×#2569C22semidirect
70. C2×#2510C22semidirect
71. C2×#2417C22semidirect
72. C2×#2466C22semidirect
73. C2×#2480C22semidirect
74. C2×#2473C22semidirect
75. C2×#2412C22semidirect
76. C2×#2463C22semidirect
77. C2×#2418C22semidirect
78. C2×#2437C22semidirect
79. C2×#2437C22semidirect
81. C2×#2633C22semidirect
82. C2×#2653C22semidirect
83. C2×#2630C22semidirect
84. C2×#2630C22semidirect
85. C2×#2622C22semidirect
86. C22×#401C22semidirect
87. C22×#400C22semidirect
88. C22×#400C22semidirect
89. C22×#400C22semidirect
90. C22×#400C22semidirect
91. C22×#399C22semidirect
92. C22×#399C22semidirect
93. C22×#399C22semidirect
94. C22×#398C22semidirect
95. C22×#398C22semidirect
96. C22×#398C22semidirect
97. C22×#398C22semidirect
98. C22×#398C22semidirect
99. C22×#398C22semidirect
100. C22×#398C22semidirect
101. C22×#397C22semidirect
102. C22×#397C22semidirect
103. C22×#397C22semidirect
104. C22×#397C22semidirect
105. C22×#397C22semidirect
106. C22×#397C22semidirect
107. C22×#397C22semidirect
108. C22×#397C22semidirect
109. C22×#397C22semidirect
110. C22×#397C22semidirect
111. C22×#397C22semidirect
112. C22×#397C22semidirect
113. C22×#396C22semidirect
114. C22×#396C22semidirect
115. C22×#396C22semidirect
116. C22×#396C22semidirect
117. C22×#396C22semidirect
118. C22×#396C22semidirect
119. C22×#396C22semidirect
130. C22×#394C22semidirect
131. C22×#394C22semidirect
132. C22×#394C22semidirect
133. C22×#394C22semidirect
134. C22×#394C22semidirect
135. C22×#394C22semidirect
136. C22×#394C22semidirect
137. C22×#394C22semidirect
138. C22×#394C22semidirect
139. C22×#393C22semidirect
140. C22×#393C22semidirect
143. C2×#2358C22semidirect
144. C2×D4×C22⋊C4C22semidirect
145. C2×#2315C22semidirect
146. C22×#391C22semidirect
149. C22×#390C22semidirect
150. C22×#389C22semidirect
151. C22×#389C22semidirect
152. C22×#388C22semidirect
153. C22×#388C22semidirect
154. C22×#388C22semidirect
155. C22×#388C22semidirect
156. C22×#388C22semidirect
157. C22×#388C22semidirect
158. C22×#388C22semidirect
159. C22×#388C22semidirect
160. C22×#388C22semidirect
161. C22×#387C22semidirect
162. C22×#387C22semidirect
163. C22×#387C22semidirect
164. C22×#387C22semidirect
165. C22×#387C22semidirect
166. C22×#387C22semidirect
167. C22×#387C22semidirect
178. C22×#386C22semidirect
179. C22×#386C22semidirect
180. C22×#386C22semidirect
181. C22×#386C22semidirect
188. C22×#385C22semidirect
189. C22×#385C22semidirect
190. C22×#385C22semidirect
191. C22×#385C22semidirect
192. C22×#385C22semidirect
193. C22×#385C22semidirect
194. C22×#385C22semidirect
195. C22×#385C22semidirect
196. C22×#385C22semidirect
197. C22×#385C22semidirect
198. C22×#385C22semidirect
199. C22×#385C22semidirect
200. C22×#385C22semidirect
201. C22×#385C22semidirect
202. C22×#383C22semidirect
203. C22×#381C22semidirect
210. C22×#380C22semidirect
211. C22×#380C22semidirect
212. C22×#380C22semidirect
218. C22×C4×C22⋊C4C22semidirect
249. C22×#126C23semidirect
251. C22×#125C23semidirect
254. C22×#123C23semidirect
255. C22×#123C23semidirect
261. C22×C22⋊Q8C23semidirect
262. C22×C22⋊Q8C23semidirect
263. C22×C22⋊Q8C23semidirect
279. C22×C4×D4C23semidirect
387. #2827C23semidirect
388. #2826C23semidirect
389. #2786C23semidirect
390. #2757C23semidirect
391. #2746C23semidirect
392. #2728C23semidirect
393. #2711C23semidirect
394. #2708C23semidirect
395. #2691C23semidirect
396. #2681C23semidirect
397. #2653C23semidirect
398. #2633C23semidirect
399. #2630C23semidirect
400. #2630C23semidirect
401. #2622C23semidirect
402. #2569C23semidirect
403. #2510C23semidirect
404. #2480C23semidirect
405. #2473C23semidirect
406. #2466C23semidirect
407. #2463C23semidirect
408. #2437C23semidirect
409. #2437C23semidirect
410. #2418C23semidirect
411. #2417C23semidirect
412. #2412C23semidirect
414. C2×#401C23semidirect
415. C2×#400C23semidirect
416. C2×#400C23semidirect
417. C2×#400C23semidirect
418. C2×#400C23semidirect
419. C2×#399C23semidirect
420. C2×#399C23semidirect
421. C2×#399C23semidirect
422. C2×#398C23semidirect
423. C2×#398C23semidirect
424. C2×#398C23semidirect
425. C2×#398C23semidirect
426. C2×#398C23semidirect
427. C2×#398C23semidirect
428. C2×#398C23semidirect
429. C2×#397C23semidirect
430. C2×#397C23semidirect
431. C2×#397C23semidirect
432. C2×#397C23semidirect
433. C2×#397C23semidirect
434. C2×#397C23semidirect
435. C2×#397C23semidirect
436. C2×#397C23semidirect
437. C2×#397C23semidirect
438. C2×#397C23semidirect
439. C2×#397C23semidirect
440. C2×#397C23semidirect
441. C2×#396C23semidirect
442. C2×#396C23semidirect
443. C2×#396C23semidirect
444. C2×#396C23semidirect
445. C2×#396C23semidirect
446. C2×#396C23semidirect
447. C2×#396C23semidirect
458. C2×#394C23semidirect
459. C2×#394C23semidirect
460. C2×#394C23semidirect
461. C2×#394C23semidirect
462. C2×#394C23semidirect
463. C2×#394C23semidirect
464. C2×#394C23semidirect
465. C2×#394C23semidirect
466. C2×#394C23semidirect
467. C2×#393C23semidirect
468. C2×#393C23semidirect
471. #2358C23semidirect
472. D4×C22⋊C4C23semidirect
473. #2315C23semidirect
474. C2×#391C23semidirect
477. C2×#390C23semidirect
478. C2×#389C23semidirect
479. C2×#389C23semidirect
480. C2×#388C23semidirect
481. C2×#388C23semidirect
482. C2×#388C23semidirect
483. C2×#388C23semidirect
484. C2×#388C23semidirect
485. C2×#388C23semidirect
486. C2×#388C23semidirect
487. C2×#388C23semidirect
488. C2×#388C23semidirect
489. C2×#387C23semidirect
490. C2×#387C23semidirect
491. C2×#387C23semidirect
492. C2×#387C23semidirect
493. C2×#387C23semidirect
494. C2×#387C23semidirect
495. C2×#387C23semidirect
506. C2×#386C23semidirect
507. C2×#386C23semidirect
508. C2×#386C23semidirect
509. C2×#386C23semidirect
516. C2×#385C23semidirect
517. C2×#385C23semidirect
518. C2×#385C23semidirect
519. C2×#385C23semidirect
520. C2×#385C23semidirect
521. C2×#385C23semidirect
522. C2×#385C23semidirect
523. C2×#385C23semidirect
524. C2×#385C23semidirect
525. C2×#385C23semidirect
526. C2×#385C23semidirect
527. C2×#385C23semidirect
528. C2×#385C23semidirect
529. C2×#385C23semidirect
530. C2×#383C23semidirect
531. C2×#381C23semidirect
538. C2×#380C23semidirect
539. C2×#380C23semidirect
540. C2×#380C23semidirect
546. C2×C4×C22⋊C4C23semidirect
729. C2×#126C24semidirect
731. C2×#125C24semidirect
734. C2×#123C24semidirect
735. C2×#123C24semidirect
741. C2×C22⋊Q8C24semidirect
742. C2×C22⋊Q8C24semidirect
743. C2×C22⋊Q8C24semidirect
759. C2×C4×D4C24semidirect
958. #401C24semidirect
959. #400C24semidirect
960. #400C24semidirect
961. #400C24semidirect
962. #400C24semidirect
963. #399C24semidirect
964. #399C24semidirect
965. #399C24semidirect
966. #398C24semidirect
967. #398C24semidirect
968. #398C24semidirect
969. #398C24semidirect
970. #398C24semidirect
971. #398C24semidirect
972. #398C24semidirect
973. #397C24semidirect
974. #397C24semidirect
975. #397C24semidirect
976. #397C24semidirect
977. #397C24semidirect
978. #397C24semidirect
979. #397C24semidirect
980. #397C24semidirect
981. #397C24semidirect
982. #397C24semidirect
983. #397C24semidirect
984. #397C24semidirect
985. #396C24semidirect
986. #396C24semidirect
987. #396C24semidirect
988. #396C24semidirect
989. #396C24semidirect
990. #396C24semidirect
991. #396C24semidirect
1002. #394C24semidirect
1003. #394C24semidirect
1004. #394C24semidirect
1005. #394C24semidirect
1006. #394C24semidirect
1007. #394C24semidirect
1008. #394C24semidirect
1009. #394C24semidirect
1010. #393C24semidirect
1011. #393C24semidirect
1014. #391C24semidirect
1017. #390C24semidirect
1018. #389C24semidirect
1019. #389C24semidirect
1020. #388C24semidirect
1021. #388C24semidirect
1022. #388C24semidirect
1023. #388C24semidirect
1024. #388C24semidirect
1025. #388C24semidirect
1026. #388C24semidirect
1027. #388C24semidirect
1028. #388C24semidirect
1029. #387C24semidirect
1030. #387C24semidirect
1031. #387C24semidirect
1032. #387C24semidirect
1033. #387C24semidirect
1034. #387C24semidirect
1035. #387C24semidirect
1046. #386C24semidirect
1047. #386C24semidirect
1048. #386C24semidirect
1049. #386C24semidirect
1056. #385C24semidirect
1057. #385C24semidirect
1058. #385C24semidirect
1059. #385C24semidirect
1060. #385C24semidirect
1061. #385C24semidirect
1062. #385C24semidirect
1063. #385C24semidirect
1064. #385C24semidirect
1065. #385C24semidirect
1066. #385C24semidirect
1067. #385C24semidirect
1068. #385C24semidirect
1069. #385C24semidirect
1070. #383C24semidirect
1071. #381C24semidirect
1078. #380C24semidirect
1079. #380C24semidirect
1080. #380C24semidirect
1086. C4×C22⋊C4C24semidirect
2392. C22#40538direct (N × H)
2439. C2C2×#40538direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#405382
C22×#27862
C22×#27572
C22×#27462
C22×#27282
C22×#27112
C22×#27082
C22×#26812
C22×#26912
C22×#28262
C22×#28272
C22×#25692
C22×#25102
C22×#24172
C22×#24662
C22×#24802
C22×#24732
C22×#24122
C22×#24632
C22×#24182
C22×#24372
C22×#24102
C22×#26332
C22×#26532
C22×#26302
C22×#26222
C23×#3942
C22×#23582
C22×D4×C22⋊C42
C22×#23152