Finite Group Databasebeta

← C22×#52117 #72299797

Subgroups — C22×#52117 #72299797

Order 1024.

95069 conjugacy classes of subgroups.

The subgroup lattice has 2514 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C23×#529C211yesmaximal, characteristic, complemented
2C23×#525C211yesmaximal, characteristic, complemented
3C2×#52117C2196yesmaximal, direct product factor
4C22×#2689C211yesmaximal, characteristic, complemented
5C22×#2686C211yesmaximal, characteristic, complemented
6C22×#2694C211yesmaximal, characteristic, complemented
7C22×#2695C211yesmaximal, characteristic, complemented
8C22×#2687C211yesmaximal, characteristic, complemented
9C22×#2688C211yesmaximal, characteristic, complemented
10C22×#2696C211yesmaximal, characteristic, complemented
11C22×#2693C211yesmaximal, characteristic, complemented
12C22×#2690C211yesmaximal, characteristic, complemented
13C22×#2691C211yesmaximal, characteristic, complemented
14C22×#2685C211yesmaximal, characteristic, complemented
15C22×#2684C211yesmaximal, characteristic, complemented
16C22×#2692C211yesmaximal, characteristic, complemented
17C22×#2671C211yesmaximal, characteristic, complemented
18C22×#2678C211yesmaximal, characteristic, complemented
19C22×#2668C211yesmaximal, characteristic, complemented
20C22×#2398C211yesmaximal, characteristic, complemented
21C22×#2396C211yesmaximal, characteristic, complemented
22C22×#2395C211yesmaximal, characteristic, complemented
23C22×#2395C211yesmaximal, characteristic, complemented
24C22×#2392C211yesmaximal, characteristic, complemented
25C22×#2388C211yesmaximal, characteristic, complemented
26C22×C4×#121C211yesmaximal, characteristic, complemented
27C22×C4×#121C211yesmaximal, characteristic, complemented
28C22×C4×#120C211yesmaximal, characteristic, complemented
29C22×#2297C211yesmaximal, characteristic, complemented
30C22×#2290C211yesmaximal, characteristic, complemented
31C22×#2290C211yesmaximal, characteristic, complemented
32C22×#2280C211yesmaximal, characteristic, complemented
33C24×#41C2211yescharacteristic
34C26×C4C2211yescharacteristic
35C22×#529—232no—
36C22×#529C22148yescomplemented
37C23×#126C2211yescharacteristic
38C23×#126C2211yescharacteristic, complemented
39C23×#125C2211yescharacteristic, complemented
40C23×#124C2211yescharacteristic
41C22×#525—232no—
42C22×#525C22148yescomplemented
43C23×#123C2211yescharacteristic
44C23×#123C2211yescharacteristic
45C23×#123C2211yescharacteristic
46C23×#123C2211yescharacteristic, complemented
47C23×C22⋊Q8C2211yescharacteristic
48C23×C22⋊Q8C2211yescharacteristic
49C23×C22⋊Q8C2211yescharacteristic, complemented
50C23×#121C2211yescharacteristic
51C23×#121C2211yescharacteristic
52C23×#121C2211yescharacteristic
53C23×#121C2211yescharacteristic
54C23×#121C2211yescharacteristic
55C23×#120C2211yescharacteristic
56C23×#120C2211yescharacteristic
57C23×#120C2211yescharacteristic
58C23×C4×Q8C2211yescharacteristic, complemented
59C23×C4×D4C2211yescharacteristic
60C23×C4×D4C2211yescharacteristic
61C23×C4×D4C2211yescharacteristic
62C23×C4×D4C2211yescharacteristic
63C23×C4×D4C2211yescharacteristic
64C23×C4×D4C2211yescharacteristic
65C23×C4×D4C2211yescharacteristic
66C23×C4×D4C2211yescharacteristic, complemented
67C23×C4×D4C2211yescharacteristic, complemented
68C23×#117C2211yescharacteristic
69C23×#117C2211yescharacteristic
70C23×#117C2211yescharacteristic
71C23×#117C2211yescharacteristic, complemented
72C24×C42C2211yescharacteristic, complemented
73C24×C42C2211yescharacteristic, complemented
74#52117C2211024yesdirect product factor
75C2×#2696C22148yescomplemented
76C2×#2695C22148yescomplemented
77C2×#2694C22148yescomplemented
78C2×#2693C22148yescomplemented
79C2×#2692C22148yescomplemented
80C2×#2691C22148yescomplemented
81C2×#2690C22148yescomplemented
82C2×#2689C22148yescomplemented
83C2×#2688C22148yescomplemented
84C2×#2687C22148yescomplemented
85C2×#2686C22148yescomplemented
86C2×#2685C22148yescomplemented
87C2×#2684C22148yescomplemented
88C2×#2678C22148yescomplemented
89C2×#2671C22148yescomplemented
90C2×#2668C22148yescomplemented
91C2×#2398C22148yescomplemented
92C2×#2396C22148yescomplemented
93C2×#2395C22148yescomplemented
94C2×#2395C22148yescomplemented
95C22×#400C2211yescharacteristic, complemented
96C22×#400C2211yescharacteristic, complemented
97C22×#400C2211yescharacteristic, complemented
98C22×#400C2211yescharacteristic, complemented
99C22×#400C2211yescharacteristic, complemented
100C22×#399C2211yescharacteristic
101C22×#399C2211yescharacteristic
102C22×#399C2211yescharacteristic, complemented
103C2×#2392C22148yescomplemented
104C22×#398C2211yescharacteristic, complemented
105C22×#398C2211yescharacteristic, complemented
106C22×#398C2211yescharacteristic, complemented
107C22×#398C2211yescharacteristic, complemented
108C22×#398C2211yescharacteristic, complemented
109C22×#397C2211yescharacteristic
110C22×#397C2211yescharacteristic
111C22×#397C2211yescharacteristic
112C22×#397C2211yescharacteristic
113C22×#397C2211yescharacteristic
114C22×#397C2211yescharacteristic, complemented
115C22×#397C2211yescharacteristic, complemented
116C22×#397C2211yescharacteristic, complemented
117C22×#397C2211yescharacteristic, complemented
118C22×#396C2211yescharacteristic
119C22×#396C2211yescharacteristic
120C22×#396C2211yescharacteristic, complemented
121C22×#396C2211yescharacteristic, complemented
122C2×#2388C22148yescomplemented
123C22×#395C2211yescharacteristic, complemented
124C22×#395C2211yescharacteristic, complemented
125C22×#394C2211yescharacteristic
126C22×#394C2211yescharacteristic
127C22×#394C2211yescharacteristic
128C22×#394C2211yescharacteristic
129C22×#394C2211yescharacteristic
130C22×#394C2211yescharacteristic
131C22×#394C2211yescharacteristic
132C22×#394C2211yescharacteristic
133C22×#394C2211yescharacteristic
134C22×#394C2211yescharacteristic
135C22×#394C2211yescharacteristic, complemented
136C22×#394C2211yescharacteristic, complemented
137C22×#393C2211yescharacteristic
138C22×#393C2211yescharacteristic
139C22×#393C2211yescharacteristic, complemented
140C22×#393C2211yescharacteristic, complemented
141C22×#392C2211yescharacteristic
142C22×#392C2211yescharacteristic
143C22×#392C2211yescharacteristic
144C22×#392C2211yescharacteristic, complemented
145C2×C4×#121C22148yescomplemented
146C2×C4×#121C22148yescomplemented
147C2×C4×#120C22148yescomplemented
148C2×#2297C22148yescomplemented
149C22×#391C2211yescharacteristic, complemented
150C22×#391C2211yescharacteristic, complemented
151C22×#390C2211yescharacteristic
152C22×#390C2211yescharacteristic
153C22×#390C2211yescharacteristic
154C22×#390C2211yescharacteristic
155C22×#389C2211yescharacteristic, complemented
156C22×#389C2211yescharacteristic, complemented
157C2×#2290C22148yescomplemented
158C2×#2290C22148yescomplemented
159C22×#388C2211yescharacteristic
160C22×#388C2211yescharacteristic
161C22×#388C2211yescharacteristic
162C22×#388C2211yescharacteristic
163C22×#388C2211yescharacteristic
164C22×#388C2211yescharacteristic
165C22×#388C2211yescharacteristic, complemented
166C22×#388C2211yescharacteristic, complemented
167C22×#387C2211yescharacteristic, complemented
168C22×#387C2211yescharacteristic, complemented
169C22×#387C2211yescharacteristic, complemented
170C22×#387C2211yescharacteristic, complemented
171C22×#386C2211yescharacteristic
172C22×#386C2211yescharacteristic
173C22×#386C2211yescharacteristic
174C22×#386C2211yescharacteristic
175C22×#386C2211yescharacteristic
176C22×#386C2211yescharacteristic
177C22×#386C2211yescharacteristic
178C22×#386C2211yescharacteristic
179C22×#386C2211yescharacteristic
180C22×#386C2211yescharacteristic
181C22×#386C2211yescharacteristic
182C22×#386C2211yescharacteristic, complemented
183C22×#386C2211yescharacteristic, complemented
184C22×#386C2211yescharacteristic, complemented
185C22×#386C2211yescharacteristic, complemented
186C22×#385C2211yescharacteristic
187C22×#385C2211yescharacteristic
188C22×#385C2211yescharacteristic
189C22×#385C2211yescharacteristic, complemented
190C22×#385C2211yescharacteristic, complemented
191C22×#385C2211yescharacteristic, complemented
192C22×#385C2211yescharacteristic, complemented
193C2×#2280C22148yescomplemented
194C22×#381C2211yescharacteristic
195C22×#381C2211yescharacteristic
196C22×#380C2211yescharacteristic
197C22×#380C2211yescharacteristic
198C22×#380C2211yescharacteristic
199C22×#380C2211yescharacteristic
200C22×#380C2211yescharacteristic, complemented
201C22×#380C2211yescharacteristic, complemented
202C22×#379C2211yescharacteristic
203C22×#379C2211yescharacteristic
204C22×#379C2211yescharacteristic
205C22×C4×C4⋊C4C2211yescharacteristic, complemented
206C22×C4×C4⋊C4C2211yescharacteristic, complemented
207C22×C4×C4⋊C4C2211yescharacteristic, complemented
208C22×C4×C4⋊C4C2211yescharacteristic, complemented
209C22×C4×C22⋊C4C2211yescharacteristic
210C22×C4×C22⋊C4C2211yescharacteristic
211C22×C4×C22⋊C4C2211yescharacteristic
212C22×C4×C22⋊C4C2211yescharacteristic
213C22×C4×C22⋊C4C2211yescharacteristic
214C22×C4×C22⋊C4C2211yescharacteristic
215C22×C4×C22⋊C4C2211yescharacteristic
216C22×C4×C22⋊C4C2211yescharacteristic, complemented
217C22×C4×C22⋊C4C2211yescharacteristic, complemented
218C22×C4×C22⋊C4C2211yescharacteristic, complemented
219C22×C4×C22⋊C4C2211yescharacteristic, complemented
220C22×C4×C22⋊C4C2211yescharacteristic, complemented
221C22×#376C2211yescharacteristic, complemented
222C27C2311yescharacteristic
223C23×#41—216no—
224C23×#41—216no—
225C23×#41—48no—
226C23×#41C23124yes—
227C24×Q8C2311yescharacteristic
228C24×Q8C2311yescharacteristic
229C24×D4C2311yescharacteristic
230C24×D4C2311yescharacteristic
231C24×D4C2311yescharacteristic
232C24×D4C2311yescharacteristic
233C24×D4C2311yescharacteristic
234C24×D4C2311yescharacteristic
235C24×D4C2311yescharacteristic
236C24×D4C2311yescharacteristic
237C24×D4C2311yescharacteristic
238C24×D4C2311yescharacteristic
239C24×D4C2311yescharacteristic
240C24×D4C2311yescharacteristic
241C25×C4—216no—
242C25×C4—216no—
243C25×C4—48no—
244C25×C4C2311yescharacteristic
245C25×C4C2311yescharacteristic
246C25×C4C2311yescharacteristic
247C25×C4C2311yescharacteristic
248C25×C4C2311yescharacteristic
249C25×C4C2311yescharacteristic
250C25×C4C23124yes—
251C25×C4C2311yescharacteristic
252C25×C4C2311yescharacteristic
253C25×C4C2311yescharacteristic
254C25×C4C2311yescharacteristic
255C25×C4C2311yescharacteristic
256C25×C4C2311yescharacteristic
257C25×C4C2311yescharacteristic
258C2×#529—2768no—
259C2×#529C231256yescomplemented
260C22×#126—216no—
261C22×#126—216no—
262C22×#126C23124yes—
263C22×#126C23124yescomplemented
264C22×#125—216no—
265C22×#125C23124yescomplemented
266C22×#124—216no—
267C22×#124C23124yes—
268C2×#525—2768no—
269C2×#525C231256yescomplemented
270C22×#123—216no—
271C22×#123—216no—
272C22×#123—216no—
273C22×#123—216no—
274C22×#123C23124yes—
275C22×#123C23124yes—
276C22×#123C23124yes—
277C22×#123C23124yescomplemented
278C22×C22⋊Q8—216no—
279C22×C22⋊Q8—216no—
280C22×C22⋊Q8—216no—
281C22×C22⋊Q8C23124yes—
282C22×C22⋊Q8C23124yes—
283C22×C22⋊Q8C23124yescomplemented
284C22×#121—216no—
285C22×#121—216no—
286C22×#121—216no—
287C22×#121—216no—
288C22×#121—216no—
289C22×#121C23124yes—
290C22×#121C23124yes—
291C22×#121C23124yes—
292C22×#121C23124yes—
293C22×#121C23124yes—
294C22×#120—216no—
295C22×#120—216no—
296C22×#120—216no—
297C22×#120C23124yes—
298C22×#120C23124yes—
299C22×#120C23124yes—
300C22×C4×Q8—216no—
301C22×C4×Q8C23124yescomplemented
302C22×C4×D4—216no—
303C22×C4×D4—216no—
304C22×C4×D4—216no—
305C22×C4×D4—216no—
306C22×C4×D4—216no—
307C22×C4×D4—216no—
308C22×C4×D4—48no—
309C22×C4×D4—48no—
310C22×C4×D4D4132yescomplemented
311C22×C4×D4C23124yes—
312C22×C4×D4C23124yes—
313C22×C4×D4C23124yes—
314C22×C4×D4C23124yes—
315C22×C4×D4C23124yes—
316C22×C4×D4C23124yes—
317C22×C4×D4C23124yes—
318C22×C4×D4C23124yescomplemented
319C22×C4×D4C23124yescomplemented
320C22×#117—216no—
321C22×#117—216no—
322C22×#117—216no—
323C22×#117—48no—
324C22×#117C23124yes—
325C22×#117C23124yes—
326C22×#117C23124yes—
327C22×#117C23124yescomplemented
328C23×C4⋊C4C2311yescharacteristic
329C23×C4⋊C4C2311yescharacteristic
330C23×C4⋊C4C2311yescharacteristic
331C23×C4⋊C4C2311yescharacteristic
332C23×C4⋊C4C2311yescharacteristic
333C23×C4⋊C4C2311yescharacteristic
334C23×C4⋊C4C2311yescharacteristic
335C23×C4⋊C4C2311yescharacteristic
336C23×C4⋊C4C2311yescharacteristic
337C23×C4⋊C4C2311yescharacteristic
338C23×C4⋊C4C2311yescharacteristic
339C23×C4⋊C4C2311yescharacteristic
340C23×C4⋊C4C2311yescharacteristic
341C23×C4⋊C4C2311yescharacteristic
342C23×C4⋊C4C2311yescharacteristic
343C23×C4⋊C4C2311yescharacteristic
344C23×C4⋊C4C2311yescharacteristic
345C23×C4⋊C4C2311yescharacteristic
346C23×C4⋊C4C2311yescharacteristic
347C23×C4⋊C4C2311yescharacteristic
348C23×C4⋊C4C2311yescharacteristic
349C23×C4⋊C4C2311yescharacteristic
350C23×C4⋊C4C2311yescharacteristic
351C23×C4⋊C4C2311yescharacteristic
352C23×C4⋊C4C2311yescharacteristic
353C23×C4⋊C4C2311yescharacteristic
354C23×C4⋊C4C2311yescharacteristic
355C23×C4⋊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×C22⋊C4C2311yescharacteristic
383C23×C22⋊C4C2311yescharacteristic
384C23×C22⋊C4C2311yescharacteristic
385C23×C22⋊C4C2311yescharacteristic
386C23×C22⋊C4C2311yescharacteristic
387C23×C22⋊C4C2311yescharacteristic
388C23×C22⋊C4C2311yescharacteristic
389C23×C22⋊C4C2311yescharacteristic
390C23×C22⋊C4C2311yescharacteristic
391C23×C22⋊C4C2311yescharacteristic
392C23×C22⋊C4C2311yescharacteristic
393C23×C22⋊C4C2311yescharacteristic
394C23×C22⋊C4C2311yescharacteristic
395C23×C22⋊C4C2311yescharacteristic
396C23×C22⋊C4C2311yescharacteristic
397C23×C22⋊C4C2311yescharacteristic
398C23×C22⋊C4C2311yescharacteristic
399C23×C22⋊C4C2311yescharacteristic
400C23×C22⋊C4C2311yescharacteristic
401C23×C22⋊C4C2311yescharacteristic
402C23×C22⋊C4C2311yescharacteristic
403C23×C22⋊C4C2311yescharacteristic
404C23×C22⋊C4C2311yescharacteristic
405C23×C22⋊C4C2311yescharacteristic
406C23×C42—216no—
407C23×C42—48no—
408C23×C42C2311yescharacteristic
409C23×C42C2311yescharacteristic
410C23×C42C2311yescharacteristic
411C23×C42C2311yescharacteristic
412C23×C42C2311yescharacteristic
413C23×C42C2311yescharacteristic
414C23×C42C2311yescharacteristic
415C23×C42C2311yescharacteristic
416C23×C42C2311yescharacteristic
417C23×C42C2311yescharacteristic
418C23×C42C2311yescharacteristic
419C23×C42C2311yescharacteristic
420C23×C42C2311yescharacteristic
421C23×C42C23124yescomplemented
422C23×C42C23124yescomplemented
423#2696C231256yescomplemented
424#2695C231256yescomplemented
425#2694C231256yescomplemented
426#2693C231256yescomplemented
427#2692C231256yescomplemented
428#2691C231256yescomplemented
429#2690C231256yescomplemented
430#2689C231256yescomplemented
431#2688C231256yescomplemented
432#2687C231256yescomplemented
433#2686C231256yescomplemented
434#2685C231256yescomplemented
435#2684C231256yescomplemented
436#2678C231256yescomplemented
437#2671C231256yescomplemented
438#2668C231256yescomplemented
439#2398C231256yescomplemented
440#2396C231256yescomplemented
441#2395C231256yescomplemented
442#2395C231256yescomplemented
443C2×#400C23124yescomplemented
444C2×#400C23124yescomplemented
445C2×#400C23124yescomplemented
446C2×#400C23124yescomplemented
447C2×#400C23124yescomplemented
448C2×#399C23124yes—
449C2×#399C23124yes—
450C2×#399C23124yescomplemented
451#2392C231256yescomplemented
452C2×#398C23124yescomplemented
453C2×#398C23124yescomplemented
454C2×#398C23124yescomplemented
455C2×#398C23124yescomplemented
456C2×#398C23124yescomplemented
457C2×#397C23124yes—
458C2×#397C23124yes—
459C2×#397C23124yes—
460C2×#397C23124yes—
461C2×#397C23124yes—
462C2×#397C23124yescomplemented
463C2×#397C23124yescomplemented
464C2×#397C23124yescomplemented
465C2×#397C23124yescomplemented
466C2×#396C23124yes—
467C2×#396C23124yes—
468C2×#396C23124yescomplemented
469C2×#396C23124yescomplemented
470#2388C231256yescomplemented
471C2×#395C23124yescomplemented
472C2×#395C23124yescomplemented
473C2×#394C23124yes—
474C2×#394C23124yes—
475C2×#394C23124yes—
476C2×#394C23124yes—
477C2×#394C23124yes—
478C2×#394C23124yes—
479C2×#394C23124yes—
480C2×#394C23124yes—
481C2×#394C23124yes—
482C2×#394C23124yes—
483C2×#394C23124yescomplemented
484C2×#394C23124yescomplemented
485C2×#393C23124yes—
486C2×#393C23124yes—
487C2×#393C23124yescomplemented
488C2×#393C23124yescomplemented
489C2×#392C23124yes—
490C2×#392C23124yes—
491C2×#392C23124yes—
492C2×#392C23124yescomplemented
493C4×#121C231256yescomplemented
494C4×#121C231256yescomplemented
495C4×#120C231256yescomplemented
496#2297C231256yescomplemented
497C2×#391C23124yescomplemented
498C2×#391C23124yescomplemented
499C2×#390C23124yes—
500C2×#390C23124yes—
501C2×#390C23124yes—
502C2×#390C23124yes—
503C2×#389C23124yescomplemented
504C2×#389C23124yescomplemented
505#2290C231256yescomplemented
506#2290C231256yescomplemented
507C2×#388C23124yes—
508C2×#388C23124yes—
509C2×#388C23124yes—
510C2×#388C23124yes—
511C2×#388C23124yes—
512C2×#388C23124yes—
513C2×#388C23124yescomplemented
514C2×#388C23124yescomplemented
515C2×#387C23124yescomplemented
516C2×#387C23124yescomplemented
517C2×#387C23124yescomplemented
518C2×#387C23124yescomplemented
519C2×#386C23124yes—
520C2×#386C23124yes—
521C2×#386C23124yes—
522C2×#386C23124yes—
523C2×#386C23124yes—
524C2×#386C23124yes—
525C2×#386C23124yes—
526C2×#386C23124yes—
527C2×#386C23124yes—
528C2×#386C23124yes—
529C2×#386C23124yes—
530C2×#386C23124yescomplemented
531C2×#386C23124yescomplemented
532C2×#386C23124yescomplemented
533C2×#386C23124yescomplemented
534C2×#385C23124yes—
535C2×#385C23124yes—
536C2×#385C23124yes—
537C2×#385C23124yescomplemented
538C2×#385C23124yescomplemented
539C2×#385C23124yescomplemented
540C2×#385C23124yescomplemented
541#2280C231256yescomplemented
542C2×#381C23124yes—
543C2×#381C23124yes—
544C2×#380C23124yes—
545C2×#380C23124yes—
546C2×#380C23124yes—
547C2×#380C23124yes—
548C2×#380C23124yescomplemented
549C2×#380C23124yescomplemented
550C2×#379C23124yes—
551C2×#379C23124yes—
552C2×#379C23124yes—
553C2×C4×C4⋊C4C23124yescomplemented
554C2×C4×C4⋊C4C23124yescomplemented
555C2×C4×C4⋊C4C23124yescomplemented
556C2×C4×C4⋊C4C23124yescomplemented
557C2×C4×C22⋊C4C23124yes—
558C2×C4×C22⋊C4C23124yes—
559C2×C4×C22⋊C4C23124yes—
560C2×C4×C22⋊C4C23124yes—
561C2×C4×C22⋊C4C23124yes—
562C2×C4×C22⋊C4C23124yes—
563C2×C4×C22⋊C4C23124yes—
564C2×C4×C22⋊C4C23124yescomplemented
565C2×C4×C22⋊C4C23124yescomplemented
566C2×C4×C22⋊C4C23124yescomplemented
567C2×C4×C22⋊C4C23124yescomplemented
568C2×C4×C22⋊C4C23124yescomplemented
569C2×#376C23124yescomplemented
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
588C22×#95C2311yescharacteristic
589C22×#95C2311yescharacteristic
590C22×#95C2311yescharacteristic
591C22×#95C2311yescharacteristic
592C22×#95C2311yescharacteristic
593C22×#95C2311yescharacteristic
594C22×#95C2311yescharacteristic
595C22×#95C2311yescharacteristic
596C22×#95C2311yescharacteristic
597C22×#95C2311yescharacteristic
598C22×#95C2311yescharacteristic
599C22×#95C2311yescharacteristic
600C22×#95C2311yescharacteristic
601C22×#95C2311yescharacteristic
602C22×#95C2311yescharacteristic
603C22×#95C2311yescharacteristic
604C22×#95C2311yescharacteristic
605C22×#95C2311yescharacteristic
606C26—28no—
607C26—28no—
608C26—28no—
609C26—44no—
610C26—44no—
611C26—44no—
612C26—44no—
613C26C2411yescharacteristic
614C26C2411yescharacteristic
615C26C2411yescharacteristic
616C26C2411yescharacteristic
617C26C2411yescharacteristic
618C26C2411yescharacteristic
619C26C24112yes—
620C22×#41—2192no—
621C22×#41—2192no—
622C22×#41—496no—
623C22×#41—4256no—
624C22×#41C24164yes—
625C23×Q8—28no—
626C23×Q8—28no—
627C23×Q8—28no—
628C23×Q8—44no—
629C23×Q8—44no—
630C23×Q8—44no—
631C23×Q8C24112yes—
632C23×Q8C24112yes—
633C23×D4—28no—
634C23×D4—28no—
635C23×D4—28no—
636C23×D4—28no—
637C23×D4—28no—
638C23×D4—28no—
639C23×D4—28no—
640C23×D4—28no—
641C23×D4—28no—
642C23×D4—28no—
643C23×D4—28no—
644C23×D4—28no—
645C23×D4—28no—
646C23×D4—28no—
647C23×D4—28no—
648C23×D4—28no—
649C23×D4—28no—
650C23×D4—28no—
651C23×D4—44no—
652C23×D4—44no—
653C23×D4—44no—
654C23×D4—44no—
655C23×D4—44no—
656C23×D4—44no—
657C23×D4—44no—
658C23×D4—44no—
659C23×D4—44no—
660C23×D4—44no—
661C23×D4—44no—
662C23×D4—44no—
663C23×D4—44no—
664C23×D4—44no—
665C23×D4—44no—
666C23×D4—44no—
667C23×D4C2×D4116yes—
668C23×D4#41116yescomplemented
669C23×D4C24112yes—
670C23×D4C24112yes—
671C23×D4C24112yes—
672C23×D4C24112yes—
673C23×D4C24112yes—
674C23×D4C24112yes—
675C23×D4C24112yes—
676C23×D4C24112yes—
677C23×D4C24112yes—
678C23×D4C24112yes—
679C23×D4C24112yes—
680C23×D4C24112yes—
681C24×C4—28no—
682C24×C4—28no—
683C24×C4—28no—
684C24×C4—28no—
685C24×C4—28no—
686C24×C4—28no—
687C24×C4—28no—
688C24×C4—28no—
689C24×C4—28no—
690C24×C4—28no—
691C24×C4—28no—
692C24×C4—28no—
693C24×C4—2192no—
694C24×C4—28no—
695C24×C4—28no—
696C24×C4—28no—
697C24×C4—28no—
698C24×C4—28no—
699C24×C4—2192no—
700C24×C4—28no—
701C24×C4—28no—
702C24×C4—28no—
703C24×C4—28no—
704C24×C4—28no—
705C24×C4—28no—
706C24×C4—28no—
707C24×C4—28no—
708C24×C4—496no—
709C24×C4—44no—
710C24×C4—44no—
711C24×C4—44no—
712C24×C4—44no—
713C24×C4—44no—
714C24×C4—44no—
715C24×C4—44no—
716C24×C4—44no—
717C24×C4—44no—
718C24×C4—44no—
719C24×C4—44no—
720C24×C4—4256no—
721C24×C4C2×D4116yes—
722C24×C4C2×D4116yes—
723C24×C4#41116yes—
724C24×C4C2411yescharacteristic
725C24×C4C24112yes—
726C24×C4C2411yescharacteristic
727C24×C4C24112yes—
728C24×C4C2411yescharacteristic
729C24×C4C2411yescharacteristic
730C24×C4C2411yescharacteristic
731C24×C4C2411yescharacteristic
732C24×C4C2411yescharacteristic
733C24×C4C2411yescharacteristic
734C24×C4C24112yes—
735C24×C4C2411yescharacteristic
736C24×C4C2411yescharacteristic
737C24×C4C2411yescharacteristic
738C24×C4C2411yescharacteristic
739C24×C4C2411yescharacteristic
740C24×C4C2411yescharacteristic
741C24×C4C2411yescharacteristic
742C24×C4C2411yescharacteristic
743C24×C4C2411yescharacteristic
744C24×C4C2411yescharacteristic
745C24×C4C24112yes—
746C24×C4C24112yes—
747C24×C4C24112yes—
748C24×C4C24164yes—
749C24×C4C24112yes—
750C24×C4C2411yescharacteristic
751C24×C4C24112yes—
752C24×C4C2411yescharacteristic
753C24×C4C2411yescharacteristic
754C24×C4C2411yescharacteristic
755C24×C4C24112yes—
756C24×C4C2411yescharacteristic
757C24×C4C24112yes—
758C24×C4C2411yescharacteristic
759C24×C4C24112yes—
760C24×C4C24112yes—
761C24×C4C24112yes—
762C24×C4C2411yescharacteristic
763#529—22048no—
764C2×#126—2192no—
765C2×#126—2192no—
766C2×#126C24164yes—
767C2×#126C24164yescomplemented
768C2×#125—2192no—
769C2×#125C24164yescomplemented
770C2×#124—2192no—
771C2×#124C24164yes—
772#525—22048no—
773C2×#123—2192no—
774C2×#123—2192no—
775C2×#123—2192no—
776C2×#123—2192no—
777C2×#123C24164yes—
778C2×#123C24164yes—
779C2×#123C24164yes—
780C2×#123C24164yescomplemented
781C2×C22⋊Q8—2192no—
782C2×C22⋊Q8—2192no—
783C2×C22⋊Q8—2192no—
784C2×C22⋊Q8C24164yes—
785C2×C22⋊Q8C24164yes—
786C2×C22⋊Q8C24164yescomplemented
787C2×#121—2192no—
788C2×#121—2192no—
789C2×#121—2192no—
790C2×#121—2192no—
791C2×#121—2192no—
792C2×#121C24164yes—
793C2×#121C24164yes—
794C2×#121C24164yes—
795C2×#121C24164yes—
796C2×#121C24164yes—
797C2×#120—2192no—
798C2×#120—2192no—
799C2×#120—2192no—
800C2×#120C24164yes—
801C2×#120C24164yes—
802C2×#120C24164yes—
803C2×C4×Q8—2192no—
804C2×C4×Q8C24164yescomplemented
805C2×C4×D4—2192no—
806C2×C4×D4—2192no—
807C2×C4×D4—2192no—
808C2×C4×D4—2192no—
809C2×C4×D4—2192no—
810C2×C4×D4—2192no—
811C2×C4×D4—496no—
812C2×C4×D4—496no—
813C2×C4×D4C2×D41384yescomplemented
814C2×C4×D4C24164yes—
815C2×C4×D4C24164yes—
816C2×C4×D4C24164yes—
817C2×C4×D4C24164yes—
818C2×C4×D4C24164yes—
819C2×C4×D4C24164yes—
820C2×C4×D4C24164yes—
821C2×C4×D4C24164yescomplemented
822C2×C4×D4C24164yescomplemented
823C2×#117—2192no—
824C2×#117—2192no—
825C2×#117—2192no—
826C2×#117—496no—
827C2×#117C24164yes—
828C2×#117C24164yes—
829C2×#117C24164yes—
830C2×#117C24164yescomplemented
831C22×C4⋊C4—28no—
832C22×C4⋊C4—28no—
833C22×C4⋊C4—28no—
834C22×C4⋊C4—28no—
835C22×C4⋊C4—28no—
836C22×C4⋊C4—28no—
837C22×C4⋊C4—28no—
838C22×C4⋊C4—28no—
839C22×C4⋊C4—28no—
840C22×C4⋊C4—28no—
841C22×C4⋊C4—28no—
842C22×C4⋊C4—28no—
843C22×C4⋊C4—28no—
844C22×C4⋊C4—28no—
845C22×C4⋊C4—28no—
846C22×C4⋊C4—28no—
847C22×C4⋊C4—28no—
848C22×C4⋊C4—44no—
849C22×C4⋊C4—44no—
850C22×C4⋊C4—44no—
851C22×C4⋊C4—44no—
852C22×C4⋊C4—44no—
853C22×C4⋊C4—44no—
854C22×C4⋊C4—44no—
855C22×C4⋊C4—44no—
856C22×C4⋊C4—44no—
857C22×C4⋊C4—44no—
858C22×C4⋊C4C2×D4116yes—
859C22×C4⋊C4C24112yes—
860C22×C4⋊C4C24112yes—
861C22×C4⋊C4C24112yes—
862C22×C4⋊C4C24112yes—
863C22×C4⋊C4C24112yes—
864C22×C4⋊C4C24112yes—
865C22×C4⋊C4C24112yes—
866C22×C4⋊C4C24112yes—
867C22×C4⋊C4C24112yes—
868C22×C4⋊C4C24112yes—
869C22×C4⋊C4C24112yes—
870C22×C4⋊C4C24112yes—
871C22×C4⋊C4C24112yes—
872C22×C4⋊C4C24112yes—
873C22×C4⋊C4C24112yes—
874C22×C4⋊C4C24112yes—
875C22×C4⋊C4C24112yes—
876C22×C4⋊C4C24112yes—
877C22×C4⋊C4C24112yes—
878C22×C4⋊C4C24112yes—
879C22×C4⋊C4C24112yes—
880C22×C4⋊C4C24112yes—
881C22×C4⋊C4C24112yes—
882C22×C4⋊C4C24112yes—
883C22×C4⋊C4C24112yes—
884C22×C4⋊C4C24112yes—
885C22×C4⋊C4C24112yes—
886C22×C4⋊C4C24112yes—
887C22×C22⋊C4—28no—
888C22×C22⋊C4—28no—
889C22×C22⋊C4—28no—
890C22×C22⋊C4—28no—
891C22×C22⋊C4—28no—
892C22×C22⋊C4—28no—
893C22×C22⋊C4—28no—
894C22×C22⋊C4—28no—
895C22×C22⋊C4—28no—
896C22×C22⋊C4—28no—
897C22×C22⋊C4—28no—
898C22×C22⋊C4—28no—
899C22×C22⋊C4—28no—
900C22×C22⋊C4—28no—
901C22×C22⋊C4—28no—
902C22×C22⋊C4—28no—
903C22×C22⋊C4—28no—
904C22×C22⋊C4—28no—
905C22×C22⋊C4—28no—
906C22×C22⋊C4—28no—
907C22×C22⋊C4—28no—
908C22×C22⋊C4—28no—
909C22×C22⋊C4—28no—
910C22×C22⋊C4—28no—
911C22×C22⋊C4—28no—
912C22×C22⋊C4—44no—
913C22×C22⋊C4—44no—
914C22×C22⋊C4—44no—
915C22×C22⋊C4—44no—
916C22×C22⋊C4—44no—
917C22×C22⋊C4—44no—
918C22×C22⋊C4—44no—
919C22×C22⋊C4—44no—
920C22×C22⋊C4—44no—
921C22×C22⋊C4—44no—
922C22×C22⋊C4—44no—
923C22×C22⋊C4—44no—
924C22×C22⋊C4—44no—
925C22×C22⋊C4—44no—
926C22×C22⋊C4—44no—
927C22×C22⋊C4—44no—
928C22×C22⋊C4—44no—
929C22×C22⋊C4—44no—
930C22×C22⋊C4—44no—
931C22×C22⋊C4—44no—
932C22×C22⋊C4—44no—
933C22×C22⋊C4—44no—
934C22×C22⋊C4—44no—
935C22×C22⋊C4C2×D4116yes—
936C22×C22⋊C4C2×D4116yes—
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×C22⋊C4C24112yes—
949C22×C22⋊C4C24112yes—
950C22×C22⋊C4C24112yes—
951C22×C22⋊C4C24112yes—
952C22×C22⋊C4C24112yes—
953C22×C22⋊C4C24112yes—
954C22×C22⋊C4C24112yes—
955C22×C22⋊C4C24112yes—
956C22×C22⋊C4C24112yes—
957C22×C22⋊C4C24112yes—
958C22×C22⋊C4C24112yes—
959C22×C22⋊C4C24112yes—
960C22×C22⋊C4C24112yes—
961C22×C22⋊C4C24112yes—
962C22×C22⋊C4C24112yes—
963C22×C22⋊C4C24112yes—
964C22×C22⋊C4C24112yes—
965C22×C22⋊C4C24112yes—
966C22×C22⋊C4C24112yes—
967C22×C22⋊C4C24112yes—
968C22×C22⋊C4C24112yes—
969C22×C22⋊C4C24112yes—
970C22×C22⋊C4C24112yes—
971C22×C22⋊C4C24112yes—
972C22×C22⋊C4C24112yes—
973C22×C22⋊C4C24112yes—
974C22×C22⋊C4C24112yes—
975C22×C22⋊C4C24112yes—
976C22×C22⋊C4C24112yes—
977C22×C22⋊C4C24112yes—
978C22×C22⋊C4C24112yes—
979C22×C22⋊C4C24112yes—
980C22×C22⋊C4C24112yes—
981C22×C22⋊C4C24112yes—
982C22×C22⋊C4C24112yes—
983C22×C22⋊C4C24112yes—
984C22×C22⋊C4C24112yes—
985C22×C22⋊C4C24112yes—
986C22×C22⋊C4C24112yes—
987C22×C42—28no—
988C22×C42—28no—
989C22×C42—28no—
990C22×C42—28no—
991C22×C42—28no—
992C22×C42—28no—
993C22×C42—28no—
994C22×C42—28no—
995C22×C42—28no—
996C22×C42—28no—
997C22×C42—2192no—
998C22×C42—496no—
999C22×C42—44no—
1000C22×C42—44no—
1001C22×C42C2×D4116yes—
1002C22×C42C24112yes—
1003C22×C42C24112yes—
1004C22×C42C24112yes—
1005C22×C42C24112yes—
1006C22×C42C24112yes—
1007C22×C42C24112yes—
1008C22×C42C24112yes—
1009C22×C42C24112yes—
1010C22×C42C24112yes—
1011C22×C42C24112yes—
1012C22×C42C24112yes—
1013C22×C42C24112yes—
1014C22×C42C24112yes—
1015C22×C42C24164yescomplemented
1016C22×C42C24164yescomplemented
1017#400C24164yescomplemented
1018#400C24164yescomplemented
1019#400C24164yescomplemented
1020#400C24164yescomplemented
1021#400C24164yescomplemented
1022#399C24164yes—
1023#399C24164yes—
1024#399C24164yescomplemented
1025#398C24164yescomplemented
1026#398C24164yescomplemented
1027#398C24164yescomplemented
1028#398C24164yescomplemented
1029#398C24164yescomplemented
1030#397C24164yes—
1031#397C24164yes—
1032#397C24164yes—
1033#397C24164yes—
1034#397C24164yes—
1035#397C24164yescomplemented
1036#397C24164yescomplemented
1037#397C24164yescomplemented
1038#397C24164yescomplemented
1039#396C24164yes—
1040#396C24164yes—
1041#396C24164yescomplemented
1042#396C24164yescomplemented
1043#395C24164yescomplemented
1044#395C24164yescomplemented
1045#394C24164yes—
1046#394C24164yes—
1047#394C24164yes—
1048#394C24164yes—
1049#394C24164yes—
1050#394C24164yes—
1051#394C24164yes—
1052#394C24164yes—
1053#394C24164yes—
1054#394C24164yes—
1055#394C24164yescomplemented
1056#394C24164yescomplemented
1057#393C24164yes—
1058#393C24164yes—
1059#393C24164yescomplemented
1060#393C24164yescomplemented
1061#392C24164yes—
1062#392C24164yes—
1063#392C24164yes—
1064#392C24164yescomplemented
1065#391C24164yescomplemented
1066#391C24164yescomplemented
1067#390C24164yes—
1068#390C24164yes—
1069#390C24164yes—
1070#390C24164yes—
1071#389C24164yescomplemented
1072#389C24164yescomplemented
1073#388C24164yes—
1074#388C24164yes—
1075#388C24164yes—
1076#388C24164yes—
1077#388C24164yes—
1078#388C24164yes—
1079#388C24164yescomplemented
1080#388C24164yescomplemented
1081#387C24164yescomplemented
1082#387C24164yescomplemented
1083#387C24164yescomplemented
1084#387C24164yescomplemented
1085#386C24164yes—
1086#386C24164yes—
1087#386C24164yes—
1088#386C24164yes—
1089#386C24164yes—
1090#386C24164yes—
1091#386C24164yes—
1092#386C24164yes—
1093#386C24164yes—
1094#386C24164yes—
1095#386C24164yes—
1096#386C24164yescomplemented
1097#386C24164yescomplemented
1098#386C24164yescomplemented
1099#386C24164yescomplemented
1100#385C24164yes—
1101#385C24164yes—
1102#385C24164yes—
1103#385C24164yescomplemented
1104#385C24164yescomplemented
1105#385C24164yescomplemented
1106#385C24164yescomplemented
1107#381C24164yes—
1108#381C24164yes—
1109#380C24164yes—
1110#380C24164yes—
1111#380C24164yes—
1112#380C24164yes—
1113#380C24164yescomplemented
1114#380C24164yescomplemented
1115#379C24164yes—
1116#379C24164yes—
1117#379C24164yes—
1118C4×C4⋊C4C24164yescomplemented
1119C4×C4⋊C4C24164yescomplemented
1120C4×C4⋊C4C24164yescomplemented
1121C4×C4⋊C4C24164yescomplemented
1122C4×C22⋊C4C24164yes—
1123C4×C22⋊C4C24164yes—
1124C4×C22⋊C4C24164yes—
1125C4×C22⋊C4C24164yes—
1126C4×C22⋊C4C24164yes—
1127C4×C22⋊C4C24164yes—
1128C4×C22⋊C4C24164yes—
1129C4×C22⋊C4C24164yescomplemented
1130C4×C22⋊C4C24164yescomplemented
1131C4×C22⋊C4C24164yescomplemented
1132C4×C22⋊C4C24164yescomplemented
1133C4×C22⋊C4C24164yescomplemented
1134#376C24164yescomplemented
1135C2×#95C24112yes—
1136C2×#95C24112yes—
1137C2×#95C24112yes—
1138C2×#95C24112yes—
1139C2×#95C24112yes—
1140C2×#95C24112yes—
1141C2×#95C24112yes—
1142C2×#95C24112yes—
1143C2×#95C24112yes—
1144C2×#95C24112yes—
1145C2×#95C24112yes—
1146C2×#95C24112yes—
1147C2×#95C24112yes—
1148C2×#95C24112yes—
1149C2×#95C24112yes—
1150C2×#95C24112yes—
1151C2×#95C24112yes—
1152C2×#95C24112yes—
1153C2×#95C24112yes—
1154C2×#95C24112yes—
1155C2×#95C24112yes—
1156C2×#95C24112yes—
1157C2×#95C24112yes—
1158C2×#95C24112yes—
1159C2×#95C24112yes—
1160C2×#95C24112yes—
1161C2×#95C24112yes—
1162C2×#95C24112yes—
1163C2×#95C24112yes—
1164C2×#95C24112yes—
1165C2×#95C24112yes—
1166C2×#95C24112yes—
1167C2×#95C24112yes—
1168C2×#95C24112yes—
1169C2×#95C24112yes—
1170C2×#95C24112yes—
1171C25—24no—
1172C25—24no—
1173C25—24no—
1174C25—24no—
1175C25—24no—
1176C25—24no—
1177C25—24no—
1178C25—24no—
1179C25—24no—
1180C25—24no—
1181C25—24no—
1182C25—24no—
1183C25—24no—
1184C25—24no—
1185C25—24no—
1186C25—24no—
1187C25—24no—
1188C25—24no—
1189C25—24no—
1190C25—24no—
1191C25—24no—
1192C25—24no—
1193C25—24no—
1194C25—24no—
1195C25—24no—
1196C25—24no—
1197C25—24no—
1198C25—24no—
1199C25—24no—
1200C25—24no—
1201C25—24no—
1202C25—248no—
1203C25—24no—
1204C25—248no—
1205C25—248no—
1206C25—24no—
1207C25—24no—
1208C25—24no—
1209C25—24no—
1210C25—24no—
1211C25—424no—
1212C25—424no—
1213C25—424no—
1214C25—424no—
1215C25—464no—
1216C25—464no—
1217C25—464no—
1218C25—464no—
1219C25—464no—
1220C25—464no—
1221C25—464no—
1222C25C22×D418yes—
1223C25C22×D418yes—
1224C25C2×#4118yes—
1225C25C2×#4118yes—
1226C25C2×#4118yes—
1227C25C2516yes—
1228C25C2516yes—
1229C25C2516yes—
1230C25C2516yes—
1231C25C2516yes—
1232C25C2516yes—
1233C25C25116yes—
1234C25C2511yescharacteristic
1235C2×#41—2256no—
1236C2×#41—2256no—
1237C2×#41—4128no—
1238C2×#41—41536no—
1239C22×Q8—248no—
1240C22×Q8—248no—
1241C22×Q8—248no—
1242C22×Q8—424no—
1243C22×Q8—424no—
1244C22×Q8—424no—
1245C22×Q8—464no—
1246C22×Q8—464no—
1247C22×Q8C25116yes—
1248C22×Q8C25116yes—
1249C22×D4—248no—
1250C22×D4—248no—
1251C22×D4—248no—
1252C22×D4—248no—
1253C22×D4—248no—
1254C22×D4—248no—
1255C22×D4—248no—
1256C22×D4—248no—
1257C22×D4—248no—
1258C22×D4—248no—
1259C22×D4—248no—
1260C22×D4—248no—
1261C22×D4—248no—
1262C22×D4—248no—
1263C22×D4—248no—
1264C22×D4—248no—
1265C22×D4—248no—
1266C22×D4—248no—
1267C22×D4—424no—
1268C22×D4—424no—
1269C22×D4—464no—
1270C22×D4—464no—
1271C22×D4—424no—
1272C22×D4—424no—
1273C22×D4—424no—
1274C22×D4—424no—
1275C22×D4—424no—
1276C22×D4—424no—
1277C22×D4—424no—
1278C22×D4—424no—
1279C22×D4—424no—
1280C22×D4—424no—
1281C22×D4—424no—
1282C22×D4—424no—
1283C22×D4—424no—
1284C22×D4—424no—
1285C22×D4—464no—
1286C22×D4—464no—
1287C22×D4—464no—
1288C22×D4—464no—
1289C22×D4—464no—
1290C22×D4—464no—
1291C22×D4—464no—
1292C22×D4—464no—
1293C22×D4—464no—
1294C22×D4—464no—
1295C22×D4C22×D4196yes—
1296C22×D4C2×#41196yescomplemented
1297C22×D4C25116yes—
1298C22×D4C25116yes—
1299C22×D4C25116yes—
1300C22×D4C25116yes—
1301C22×D4C25116yes—
1302C22×D4C25116yes—
1303C22×D4C25116yes—
1304C22×D4C25116yes—
1305C22×D4C25116yes—
1306C22×D4C25116yes—
1307C22×D4C25116yes—
1308C22×D4C25116yes—
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—2128no—
1322C23×C4—2128no—
1323C23×C4—2128no—
1324C23×C4—248no—
1325C23×C4—248no—
1326C23×C4—248no—
1327C23×C4—248no—
1328C23×C4—248no—
1329C23×C4—248no—
1330C23×C4—24no—
1331C23×C4—24no—
1332C23×C4—24no—
1333C23×C4—24no—
1334C23×C4—24no—
1335C23×C4—24no—
1336C23×C4—24no—
1337C23×C4—24no—
1338C23×C4—24no—
1339C23×C4—24no—
1340C23×C4—24no—
1341C23×C4—248no—
1342C23×C4—24no—
1343C23×C4—24no—
1344C23×C4—24no—
1345C23×C4—24no—
1346C23×C4—24no—
1347C23×C4—24no—
1348C23×C4—24no—
1349C23×C4—24no—
1350C23×C4—24no—
1351C23×C4—24no—
1352C23×C4—248no—
1353C23×C4—248no—
1354C23×C4—24no—
1355C23×C4—24no—
1356C23×C4—24no—
1357C23×C4—24no—
1358C23×C4—24no—
1359C23×C4—24no—
1360C23×C4—24no—
1361C23×C4—24no—
1362C23×C4—24no—
1363C23×C4—24no—
1364C23×C4—24no—
1365C23×C4—24no—
1366C23×C4—24no—
1367C23×C4—24no—
1368C23×C4—24no—
1369C23×C4—24no—
1370C23×C4—24no—
1371C23×C4—24no—
1372C23×C4—24no—
1373C23×C4—24no—
1374C23×C4—24no—
1375C23×C4—24no—
1376C23×C4—24no—
1377C23×C4—24no—
1378C23×C4—24no—
1379C23×C4—24no—
1380C23×C4—24no—
1381C23×C4—24no—
1382C23×C4—24no—
1383C23×C4—24no—
1384C23×C4—24no—
1385C23×C4—24no—
1386C23×C4—24no—
1387C23×C4—248no—
1388C23×C4—248no—
1389C23×C4—248no—
1390C23×C4—248no—
1391C23×C4—248no—
1392C23×C4—248no—
1393C23×C4—248no—
1394C23×C4—2256no—
1395C23×C4—248no—
1396C23×C4—248no—
1397C23×C4—248no—
1398C23×C4—2256no—
1399C23×C4—248no—
1400C23×C4—248no—
1401C23×C4—248no—
1402C23×C4—248no—
1403C23×C4—248no—
1404C23×C4—248no—
1405C23×C4—4128no—
1406C23×C4—424no—
1407C23×C4—424no—
1408C23×C4—424no—
1409C23×C4—424no—
1410C23×C4—424no—
1411C23×C4—424no—
1412C23×C4—424no—
1413C23×C4—424no—
1414C23×C4—424no—
1415C23×C4—424no—
1416C23×C4—424no—
1417C23×C4—464no—
1418C23×C4—41536no—
1419C23×C4—464no—
1420C23×C4—464no—
1421C23×C4—464no—
1422C23×C4—464no—
1423C23×C4—464no—
1424C23×C4—464no—
1425C23×C4—464no—
1426C23×C4—464no—
1427C23×C4—464no—
1428C23×C4C22×D418yes—
1429C23×C4C22×D418yes—
1430C23×C4C22×D418yes—
1431C23×C4C22×D418yes—
1432C23×C4C22×D4196yes—
1433C23×C4C22×D4196yes—
1434C23×C4C22×D418yes—
1435C23×C4C2×#4118yes—
1436C23×C4C2×#4118yes—
1437C23×C4C2×#41196yes—
1438C23×C4C2×#4118yes—
1439C23×C4H(5,𝔽2)18yes—
1440C23×C4C2516yes—
1441C23×C4C2516yes—
1442C23×C4C2516yes—
1443C23×C4C2516yes—
1444C23×C4C2516yes—
1445C23×C4C2516yes—
1446C23×C4C2516yes—
1447C23×C4C2516yes—
1448C23×C4C2516yes—
1449C23×C4C2516yes—
1450C23×C4C2516yes—
1451C23×C4C2516yes—
1452C23×C4C2516yes—
1453C23×C4C2516yes—
1454C23×C4C2516yes—
1455C23×C4C2516yes—
1456C23×C4C2516yes—
1457C23×C4C2516yes—
1458C23×C4C25116yes—
1459C23×C4C25116yes—
1460C23×C4C25116yes—
1461C23×C4C25116yes—
1462C23×C4C25116yes—
1463C23×C4C25116yes—
1464C23×C4C25116yes—
1465C23×C4C2516yes—
1466C23×C4C2516yes—
1467C23×C4C2516yes—
1468C23×C4C2516yes—
1469C23×C4C25116yes—
1470C23×C4C25116yes—
1471C23×C4C2516yes—
1472C23×C4C2516yes—
1473C23×C4C25116yes—
1474C23×C4C25116yes—
1475C23×C4C25116yes—
1476C23×C4C25116yes—
1477C23×C4C2516yes—
1478#126—2256no—
1479#126—2256no—
1480#125—2256no—
1481#124—2256no—
1482#123—2256no—
1483#123—2256no—
1484#123—2256no—
1485#123—2256no—
1486C22⋊Q8—2256no—
1487C22⋊Q8—2256no—
1488C22⋊Q8—2256no—
1489#121—2256no—
1490#121—2256no—
1491#121—2256no—
1492#121—2256no—
1493#121—2256no—
1494#120—2256no—
1495#120—2256no—
1496#120—2256no—
1497C4×Q8—2256no—
1498C4×D4—2256no—
1499C4×D4—2256no—
1500C4×D4—2256no—
1501C4×D4—2256no—
1502C4×D4—2256no—
1503C4×D4—2256no—
1504C4×D4—4128no—
1505C4×D4—4128no—
1506C4×D4C22×D41512yescomplemented
1507#117—2256no—
1508#117—2256no—
1509#117—2256no—
1510#117—4128no—
1511C2×C4⋊C4—248no—
1512C2×C4⋊C4—248no—
1513C2×C4⋊C4—248no—
1514C2×C4⋊C4—248no—
1515C2×C4⋊C4—248no—
1516C2×C4⋊C4—248no—
1517C2×C4⋊C4—248no—
1518C2×C4⋊C4—248no—
1519C2×C4⋊C4—248no—
1520C2×C4⋊C4—248no—
1521C2×C4⋊C4—248no—
1522C2×C4⋊C4—248no—
1523C2×C4⋊C4—248no—
1524C2×C4⋊C4—248no—
1525C2×C4⋊C4—248no—
1526C2×C4⋊C4—248no—
1527C2×C4⋊C4—248no—
1528C2×C4⋊C4—424no—
1529C2×C4⋊C4—424no—
1530C2×C4⋊C4—424no—
1531C2×C4⋊C4—424no—
1532C2×C4⋊C4—424no—
1533C2×C4⋊C4—424no—
1534C2×C4⋊C4—424no—
1535C2×C4⋊C4—424no—
1536C2×C4⋊C4—424no—
1537C2×C4⋊C4—424no—
1538C2×C4⋊C4C22×D4196yes—
1539C2×C4⋊C4C25116yes—
1540C2×C4⋊C4C25116yes—
1541C2×C4⋊C4C25116yes—
1542C2×C4⋊C4C25116yes—
1543C2×C4⋊C4C25116yes—
1544C2×C4⋊C4C25116yes—
1545C2×C4⋊C4C25116yes—
1546C2×C4⋊C4C25116yes—
1547C2×C4⋊C4C25116yes—
1548C2×C4⋊C4C25116yes—
1549C2×C4⋊C4C25116yes—
1550C2×C4⋊C4C25116yes—
1551C2×C4⋊C4C25116yes—
1552C2×C4⋊C4C25116yes—
1553C2×C4⋊C4C25116yes—
1554C2×C4⋊C4C25116yes—
1555C2×C4⋊C4C25116yes—
1556C2×C4⋊C4C25116yes—
1557C2×C4⋊C4C25116yes—
1558C2×C4⋊C4C25116yes—
1559C2×C4⋊C4C25116yes—
1560C2×C4⋊C4C25116yes—
1561C2×C4⋊C4C25116yes—
1562C2×C4⋊C4C25116yes—
1563C2×C4⋊C4C25116yes—
1564C2×C4⋊C4C25116yes—
1565C2×C4⋊C4C25116yes—
1566C2×C4⋊C4C25116yes—
1567C2×C22⋊C4—248no—
1568C2×C22⋊C4—248no—
1569C2×C22⋊C4—248no—
1570C2×C22⋊C4—248no—
1571C2×C22⋊C4—248no—
1572C2×C22⋊C4—248no—
1573C2×C22⋊C4—248no—
1574C2×C22⋊C4—248no—
1575C2×C22⋊C4—248no—
1576C2×C22⋊C4—248no—
1577C2×C22⋊C4—248no—
1578C2×C22⋊C4—248no—
1579C2×C22⋊C4—248no—
1580C2×C22⋊C4—248no—
1581C2×C22⋊C4—248no—
1582C2×C22⋊C4—248no—
1583C2×C22⋊C4—248no—
1584C2×C22⋊C4—248no—
1585C2×C22⋊C4—248no—
1586C2×C22⋊C4—248no—
1587C2×C22⋊C4—248no—
1588C2×C22⋊C4—248no—
1589C2×C22⋊C4—248no—
1590C2×C22⋊C4—248no—
1591C2×C22⋊C4—248no—
1592C2×C22⋊C4—424no—
1593C2×C22⋊C4—424no—
1594C2×C22⋊C4—424no—
1595C2×C22⋊C4—424no—
1596C2×C22⋊C4—424no—
1597C2×C22⋊C4—424no—
1598C2×C22⋊C4—424no—
1599C2×C22⋊C4—424no—
1600C2×C22⋊C4—424no—
1601C2×C22⋊C4—424no—
1602C2×C22⋊C4—424no—
1603C2×C22⋊C4—424no—
1604C2×C22⋊C4—424no—
1605C2×C22⋊C4—424no—
1606C2×C22⋊C4—424no—
1607C2×C22⋊C4—424no—
1608C2×C22⋊C4—424no—
1609C2×C22⋊C4—424no—
1610C2×C22⋊C4—424no—
1611C2×C22⋊C4—424no—
1612C2×C22⋊C4—424no—
1613C2×C22⋊C4—424no—
1614C2×C22⋊C4—424no—
1615C2×C22⋊C4C22×D4196yes—
1616C2×C22⋊C4C22×D4196yes—
1617C2×C22⋊C4C25116yes—
1618C2×C22⋊C4C25116yes—
1619C2×C22⋊C4C25116yes—
1620C2×C22⋊C4C25116yes—
1621C2×C22⋊C4C25116yes—
1622C2×C22⋊C4C25116yes—
1623C2×C22⋊C4C25116yes—
1624C2×C22⋊C4C25116yes—
1625C2×C22⋊C4C25116yes—
1626C2×C22⋊C4C25116yes—
1627C2×C22⋊C4C25116yes—
1628C2×C22⋊C4C25116yes—
1629C2×C22⋊C4C25116yes—
1630C2×C22⋊C4C25116yes—
1631C2×C22⋊C4C25116yes—
1632C2×C22⋊C4C25116yes—
1633C2×C22⋊C4C25116yes—
1634C2×C22⋊C4C25116yes—
1635C2×C22⋊C4C25116yes—
1636C2×C22⋊C4C25116yes—
1637C2×C22⋊C4C25116yes—
1638C2×C22⋊C4C25116yes—
1639C2×C22⋊C4C25116yes—
1640C2×C22⋊C4C25116yes—
1641C2×C22⋊C4C25116yes—
1642C2×C22⋊C4C25116yes—
1643C2×C22⋊C4C25116yes—
1644C2×C22⋊C4C25116yes—
1645C2×C22⋊C4C25116yes—
1646C2×C22⋊C4C25116yes—
1647C2×C22⋊C4C25116yes—
1648C2×C22⋊C4C25116yes—
1649C2×C22⋊C4C25116yes—
1650C2×C22⋊C4C25116yes—
1651C2×C22⋊C4C25116yes—
1652C2×C22⋊C4C25116yes—
1653C2×C22⋊C4C25116yes—
1654C2×C22⋊C4C25116yes—
1655C2×C22⋊C4C25116yes—
1656C2×C22⋊C4C25116yes—
1657C2×C22⋊C4C25116yes—
1658C2×C22⋊C4C25116yes—
1659C2×C22⋊C4C25116yes—
1660C2×C22⋊C4C25116yes—
1661C2×C22⋊C4C25116yes—
1662C2×C22⋊C4C25116yes—
1663C2×C22⋊C4C25116yes—
1664C2×C22⋊C4C25116yes—
1665C2×C22⋊C4C25116yes—
1666C2×C22⋊C4C25116yes—
1667C2×C42—248no—
1668C2×C42—248no—
1669C2×C42—248no—
1670C2×C42—248no—
1671C2×C42—248no—
1672C2×C42—248no—
1673C2×C42—248no—
1674C2×C42—248no—
1675C2×C42—248no—
1676C2×C42—248no—
1677C2×C42—2256no—
1678C2×C42—4128no—
1679C2×C42—424no—
1680C2×C42—424no—
1681C2×C42C22×D4196yes—
1682C2×C42C25116yes—
1683C2×C42C25116yes—
1684C2×C42C25116yes—
1685C2×C42C25116yes—
1686C2×C42C25116yes—
1687C2×C42C25116yes—
1688C2×C42C25116yes—
1689C2×C42C25116yes—
1690C2×C42C25116yes—
1691C2×C42C25116yes—
1692C2×C42C25116yes—
1693C2×C42C25116yes—
1694C2×C42C25116yes—
1695#95C25116yes—
1696#95C25116yes—
1697#95C25116yes—
1698#95C25116yes—
1699#95C25116yes—
1700#95C25116yes—
1701#95C25116yes—
1702#95C25116yes—
1703#95C25116yes—
1704#95C25116yes—
1705#95C25116yes—
1706#95C25116yes—
1707#95C25116yes—
1708#95C25116yes—
1709#95C25116yes—
1710#95C25116yes—
1711#95C25116yes—
1712#95C25116yes—
1713#95C25116yes—
1714#95C25116yes—
1715#95C25116yes—
1716#95C25116yes—
1717#95C25116yes—
1718#95C25116yes—
1719#95C25116yes—
1720#95C25116yes—
1721#95C25116yes—
1722#95C25116yes—
1723#95C25116yes—
1724#95C25116yes—
1725#95C25116yes—
1726#95C25116yes—
1727#95C25116yes—
1728#95C25116yes—
1729#95C25116yes—
1730#95C25116yes—
1731C24—212no—
1732C24—212no—
1733C24—212no—
1734C24—212no—
1735C24—212no—
1736C24—212no—
1737C24—212no—
1738C24—212no—
1739C24—212no—
1740C24—212no—
1741C24—212no—
1742C24—212no—
1743C24—212no—
1744C24—212no—
1745C24—212no—
1746C24—212no—
1747C24—212no—
1748C24—212no—
1749C24—212no—
1750C24—212no—
1751C24—212no—
1752C24—212no—
1753C24—212no—
1754C24—212no—
1755C24—212no—
1756C24—212no—
1757C24—212no—
1758C24—212no—
1759C24—212no—
1760C24—212no—
1761C24—232no—
1762C24—232no—
1763C24—232no—
1764C24—232no—
1765C24—232no—
1766C24—232no—
1767C24—232no—
1768C24—232no—
1769C24—232no—
1770C24—232no—
1771C24—232no—
1772C24—232no—
1773C24—232no—
1774C24—232no—
1775C24—232no—
1776C24—212no—
1777C24—232no—
1778C24—212no—
1779C24—232no—
1780C24—232no—
1781C24—212no—
1782C24—212no—
1783C24—212no—
1784C24—212no—
1785C24—212no—
1786C24—416no—
1787C24—416no—
1788C24—416no—
1789C24—416no—
1790C24—4192no—
1791C24—4192no—
1792C24—4192no—
1793C24—4192no—
1794C24—4192no—
1795C24—4192no—
1796C24—41024no—
1797C24—4192no—
1798C24—416no—
1799C24—416no—
1800C24—416no—
1801C24—416no—
1802C24—416no—
1803C24—416no—
1804C24—416no—
1805C24—416no—
1806C24—416no—
1807C24—416no—
1808C24—416no—
1809C24—416no—
1810C24—416no—
1811C24—416no—
1812C24—416no—
1813C24—416no—
1814C24—416no—
1815C24—416no—
1816C24—416no—
1817C24—416no—
1818C24—416no—
1819C24—416no—
1820C24—416no—
1821C24—416no—
1822C24—416no—
1823C24—416no—
1824C24—416no—
1825C24C23×D4124yes—
1826C24C23×D4124yes—
1827C24C23×D414yes—
1828C24C22×#41124yes—
1829C24C22×#41124yes—
1830C24C22×#41124yes—
1831C24C22×#4114yes—
1832C24C22×#4114yes—
1833C24C2×H(5,𝔽2)14yes—
1834C24#58514yes—
1835C24#58514yes—
1836C24#58514yes—
1837C24C2614yes—
1838C24C2614yes—
1839C24C2614yes—
1840C24C2614yes—
1841C24C2614yes—
1842C24C2614yes—
1843C24C2613yes—
1844#41—41024no—
1845C2×Q8—232no—
1846C2×Q8—232no—
1847C2×Q8—232no—
1848C2×Q8—416no—
1849C2×Q8—416no—
1850C2×Q8—416no—
1851C2×Q8—4192no—
1852C2×Q8—4192no—
1853C2×D4—232no—
1854C2×D4—232no—
1855C2×D4—232no—
1856C2×D4—232no—
1857C2×D4—232no—
1858C2×D4—232no—
1859C2×D4—232no—
1860C2×D4—232no—
1861C2×D4—232no—
1862C2×D4—232no—
1863C2×D4—232no—
1864C2×D4—232no—
1865C2×D4—232no—
1866C2×D4—232no—
1867C2×D4—232no—
1868C2×D4—232no—
1869C2×D4—232no—
1870C2×D4—232no—
1871C2×D4—416no—
1872C2×D4—416no—
1873C2×D4—4192no—
1874C2×D4—4192no—
1875C2×D4—416no—
1876C2×D4—416no—
1877C2×D4—416no—
1878C2×D4—416no—
1879C2×D4—416no—
1880C2×D4—416no—
1881C2×D4—416no—
1882C2×D4—416no—
1883C2×D4—416no—
1884C2×D4—416no—
1885C2×D4—416no—
1886C2×D4—416no—
1887C2×D4—416no—
1888C2×D4—416no—
1889C2×D4—4192no—
1890C2×D4—4192no—
1891C2×D4—4192no—
1892C2×D4—4192no—
1893C2×D4—4192no—
1894C2×D4—4192no—
1895C2×D4—4192no—
1896C2×D4—4192no—
1897C2×D4—4192no—
1898C2×D4—4192no—
1899C2×D4C23×D4164yes—
1900C2×D4C22×#41164yescomplemented
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—232no—
1921C22×C4—232no—
1922C22×C4—232no—
1923C22×C4—232no—
1924C22×C4—232no—
1925C22×C4—2384no—
1926C22×C4—2384no—
1927C22×C4—2384no—
1928C22×C4—212no—
1929C22×C4—212no—
1930C22×C4—212no—
1931C22×C4—212no—
1932C22×C4—212no—
1933C22×C4—212no—
1934C22×C4—212no—
1935C22×C4—212no—
1936C22×C4—212no—
1937C22×C4—212no—
1938C22×C4—212no—
1939C22×C4—232no—
1940C22×C4—212no—
1941C22×C4—212no—
1942C22×C4—212no—
1943C22×C4—212no—
1944C22×C4—212no—
1945C22×C4—212no—
1946C22×C4—212no—
1947C22×C4—212no—
1948C22×C4—212no—
1949C22×C4—212no—
1950C22×C4—232no—
1951C22×C4—232no—
1952C22×C4—212no—
1953C22×C4—212no—
1954C22×C4—212no—
1955C22×C4—212no—
1956C22×C4—212no—
1957C22×C4—212no—
1958C22×C4—212no—
1959C22×C4—212no—
1960C22×C4—212no—
1961C22×C4—212no—
1962C22×C4—212no—
1963C22×C4—212no—
1964C22×C4—212no—
1965C22×C4—212no—
1966C22×C4—212no—
1967C22×C4—212no—
1968C22×C4—212no—
1969C22×C4—212no—
1970C22×C4—212no—
1971C22×C4—212no—
1972C22×C4—212no—
1973C22×C4—212no—
1974C22×C4—212no—
1975C22×C4—212no—
1976C22×C4—212no—
1977C22×C4—212no—
1978C22×C4—212no—
1979C22×C4—212no—
1980C22×C4—212no—
1981C22×C4—212no—
1982C22×C4—212no—
1983C22×C4—212no—
1984C22×C4—212no—
1985C22×C4—232no—
1986C22×C4—232no—
1987C22×C4—232no—
1988C22×C4—232no—
1989C22×C4—232no—
1990C22×C4—232no—
1991C22×C4—232no—
1992C22×C4—232no—
1993C22×C4—232no—
1994C22×C4—232no—
1995C22×C4—232no—
1996C22×C4—232no—
1997C22×C4—232no—
1998C22×C4—232no—
1999C22×C4—232no—
2000C22×C4—232no—
2001C22×C4—416no—
2002C22×C4—416no—
2003C22×C4—416no—
2004C22×C4—416no—
2005C22×C4—416no—
2006C22×C4—416no—
2007C22×C4—416no—
2008C22×C4—416no—
2009C22×C4—416no—
2010C22×C4—416no—
2011C22×C4—416no—
2012C22×C4—4192no—
2013C22×C4—41024no—
2014C22×C4—4192no—
2015C22×C4—4192no—
2016C22×C4—4192no—
2017C22×C4—4192no—
2018C22×C4—4192no—
2019C22×C4—4192no—
2020C22×C4—416no—
2021C22×C4—416no—
2022C22×C4—416no—
2023C22×C4—416no—
2024C22×C4—416no—
2025C22×C4—416no—
2026C22×C4—416no—
2027C22×C4—416no—
2028C22×C4—416no—
2029C22×C4—416no—
2030C22×C4—416no—
2031C22×C4—416no—
2032C22×C4—416no—
2033C22×C4—416no—
2034C22×C4—416no—
2035C22×C4—416no—
2036C22×C4—416no—
2037C22×C4—416no—
2038C22×C4—4192no—
2039C22×C4—4192no—
2040C22×C4—4192no—
2041C22×C4#546164yes—
2042C22×C4C23×D4124yes—
2043C22×C4C23×D4124yes—
2044C22×C4C23×D4124yes—
2045C22×C4C23×D4124yes—
2046C22×C4C23×D4164yes—
2047C22×C4C23×D4164yes—
2048C22×C4C23×D4124yes—
2049C22×C4C22×#41124yes—
2050C22×C4C22×#41124yes—
2051C22×C4C22×#41164yes—
2052C22×C4C22×#41124yes—
2053C22×C4C2×H(5,𝔽2)124yes—
2054C22×C4C2614yes—
2055C22×C4C2614yes—
2056C22×C4C2614yes—
2057C22×C4C2614yes—
2058C22×C4C2614yes—
2059C22×C4C2614yes—
2060C22×C4C2614yes—
2061C22×C4C2614yes—
2062C22×C4C2614yes—
2063C22×C4C2614yes—
2064C22×C4C2614yes—
2065C22×C4C2614yes—
2066C22×C4C2614yes—
2067C22×C4C2614yes—
2068C22×C4C2614yes—
2069C22×C4C2614yes—
2070C22×C4C2614yes—
2071C22×C4C2614yes—
2072C22×C4C2614yes—
2073C22×C4C2614yes—
2074C22×C4C2614yes—
2075C22×C4C2614yes—
2076C22×C4C2614yes—
2077C22×C4C2614yes—
2078C22×C4C2614yes—
2079C4⋊C4—232no—
2080C4⋊C4—232no—
2081C4⋊C4—232no—
2082C4⋊C4—232no—
2083C4⋊C4—232no—
2084C4⋊C4—232no—
2085C4⋊C4—232no—
2086C4⋊C4—232no—
2087C4⋊C4—232no—
2088C4⋊C4—232no—
2089C4⋊C4—232no—
2090C4⋊C4—232no—
2091C4⋊C4—232no—
2092C4⋊C4—232no—
2093C4⋊C4—232no—
2094C4⋊C4—232no—
2095C4⋊C4—232no—
2096C4⋊C4—416no—
2097C4⋊C4—416no—
2098C4⋊C4—416no—
2099C4⋊C4—416no—
2100C4⋊C4—416no—
2101C4⋊C4—416no—
2102C4⋊C4—416no—
2103C4⋊C4—416no—
2104C4⋊C4—416no—
2105C4⋊C4—416no—
2106C4⋊C4C23×D4164yes—
2107C22⋊C4—232no—
2108C22⋊C4—232no—
2109C22⋊C4—232no—
2110C22⋊C4—232no—
2111C22⋊C4—232no—
2112C22⋊C4—232no—
2113C22⋊C4—232no—
2114C22⋊C4—232no—
2115C22⋊C4—232no—
2116C22⋊C4—232no—
2117C22⋊C4—232no—
2118C22⋊C4—232no—
2119C22⋊C4—232no—
2120C22⋊C4—232no—
2121C22⋊C4—232no—
2122C22⋊C4—232no—
2123C22⋊C4—232no—
2124C22⋊C4—232no—
2125C22⋊C4—232no—
2126C22⋊C4—232no—
2127C22⋊C4—232no—
2128C22⋊C4—232no—
2129C22⋊C4—232no—
2130C22⋊C4—232no—
2131C22⋊C4—232no—
2132C22⋊C4—416no—
2133C22⋊C4—416no—
2134C22⋊C4—416no—
2135C22⋊C4—416no—
2136C22⋊C4—416no—
2137C22⋊C4—416no—
2138C22⋊C4—416no—
2139C22⋊C4—416no—
2140C22⋊C4—416no—
2141C22⋊C4—416no—
2142C22⋊C4—416no—
2143C22⋊C4—416no—
2144C22⋊C4—416no—
2145C22⋊C4—416no—
2146C22⋊C4—416no—
2147C22⋊C4—416no—
2148C22⋊C4—416no—
2149C22⋊C4—416no—
2150C22⋊C4—416no—
2151C22⋊C4—416no—
2152C22⋊C4—416no—
2153C22⋊C4—416no—
2154C22⋊C4—416no—
2155C22⋊C4C23×D4164yes—
2156C22⋊C4C23×D4164yes—
2157C42—232no—
2158C42—232no—
2159C42—232no—
2160C42—232no—
2161C42—232no—
2162C42—232no—
2163C42—232no—
2164C42—232no—
2165C42—232no—
2166C42—232no—
2167C42—416no—
2168C42—416no—
2169C42C23×D4164yes—
2170C23—24no—
2171C23—24no—
2172C23—24no—
2173C23—24no—
2174C23—24no—
2175C23—24no—
2176C23—24no—
2177C23—24no—
2178C23—24no—
2179C23—24no—
2180C23—24no—
2181C23—24no—
2182C23—24no—
2183C23—24no—
2184C23—24no—
2185C23—24no—
2186C23—24no—
2187C23—24no—
2188C23—24no—
2189C23—24no—
2190C23—24no—
2191C23—24no—
2192C23—24no—
2193C23—24no—
2194C23—24no—
2195C23—24no—
2196C23—24no—
2197C23—24no—
2198C23—24no—
2199C23—24no—
2200C23—248no—
2201C23—248no—
2202C23—248no—
2203C23—248no—
2204C23—248no—
2205C23—248no—
2206C23—248no—
2207C23—248no—
2208C23—248no—
2209C23—248no—
2210C23—248no—
2211C23—248no—
2212C23—248no—
2213C23—248no—
2214C23—248no—
2215C23—24no—
2216C23—24no—
2217C23—24no—
2218C23—24no—
2219C23—24no—
2220C23—24no—
2221C23—24no—
2222C23—464no—
2223C23—464no—
2224C23—464no—
2225C23—464no—
2226C23—464no—
2227C23—464no—
2228C23—464no—
2229C23—41536no—
2230C23—4128no—
2231C23—4128no—
2232C23—4128no—
2233C23—4128no—
2234C23—4128no—
2235C23—424no—
2236C23—424no—
2237C23—424no—
2238C23—424no—
2239C23—424no—
2240C23—424no—
2241C23—424no—
2242C23—424no—
2243C23—424no—
2244C23—424no—
2245C23—424no—
2246C23—424no—
2247C23—424no—
2248C23—424no—
2249C23—424no—
2250C23—424no—
2251C23—424no—
2252C23—424no—
2253C23—424no—
2254C23—424no—
2255C23—424no—
2256C23—424no—
2257C23—424no—
2258C23—424no—
2259C23—424no—
2260C23—424no—
2261C23—424no—
2262C23—864no—
2263C23#3449116yes—
2264C23#3455116yes—
2265C23#3459116yes—
2266C23C2×#546116yes—
2267C23D4×#41116yes—
2268C23#3475116yes—
2269C23#3529116yes—
2270C23C24×D418yes—
2271C23C24×D418yes—
2272C23C24×D416yes—
2273C23C23×#4118yes—
2274C23C23×#4118yes—
2275C23C23×#4118yes—
2276C23C23×#4116yes—
2277C23C23×#4116yes—
2278C23C22×H(5,𝔽2)16yes—
2279C23C2×#58516yes—
2280C23C2×#58516yes—
2281C23C2×#58516yes—
2282C23C2711yescharacteristic
2283Q8—464no—
2284Q8—464no—
2285D4—464no—
2286D4—464no—
2287D4—464no—
2288D4—464no—
2289D4—464no—
2290D4—464no—
2291D4—464no—
2292D4—464no—
2293D4—464no—
2294D4—464no—
2295D4—464no—
2296D4—464no—
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—24no—
2307C2×C4—24no—
2308C2×C4—24no—
2309C2×C4—248no—
2310C2×C4—248no—
2311C2×C4—248no—
2312C2×C4—248no—
2313C2×C4—248no—
2314C2×C4—248no—
2315C2×C4—2128no—
2316C2×C4—2128no—
2317C2×C4—2128no—
2318C2×C4—24no—
2319C2×C4—24no—
2320C2×C4—24no—
2321C2×C4—24no—
2322C2×C4—24no—
2323C2×C4—24no—
2324C2×C4—24no—
2325C2×C4—24no—
2326C2×C4—24no—
2327C2×C4—24no—
2328C2×C4—24no—
2329C2×C4—24no—
2330C2×C4—24no—
2331C2×C4—24no—
2332C2×C4—24no—
2333C2×C4—24no—
2334C2×C4—24no—
2335C2×C4—24no—
2336C2×C4—24no—
2337C2×C4—24no—
2338C2×C4—24no—
2339C2×C4—24no—
2340C2×C4—24no—
2341C2×C4—24no—
2342C2×C4—24no—
2343C2×C4—24no—
2344C2×C4—24no—
2345C2×C4—24no—
2346C2×C4—24no—
2347C2×C4—24no—
2348C2×C4—24no—
2349C2×C4—24no—
2350C2×C4—24no—
2351C2×C4—24no—
2352C2×C4—24no—
2353C2×C4—24no—
2354C2×C4—24no—
2355C2×C4—24no—
2356C2×C4—24no—
2357C2×C4—24no—
2358C2×C4—24no—
2359C2×C4—24no—
2360C2×C4—24no—
2361C2×C4—24no—
2362C2×C4—24no—
2363C2×C4—24no—
2364C2×C4—24no—
2365C2×C4—24no—
2366C2×C4—24no—
2367C2×C4—24no—
2368C2×C4—24no—
2369C2×C4—24no—
2370C2×C4—24no—
2371C2×C4—24no—
2372C2×C4—464no—
2373C2×C4—464no—
2374C2×C4—464no—
2375C2×C4—464no—
2376C2×C4—464no—
2377C2×C4—464no—
2378C2×C4—464no—
2379C2×C4—424no—
2380C2×C4—424no—
2381C2×C4—424no—
2382C2×C4—424no—
2383C2×C4—424no—
2384C2×C4—424no—
2385C2×C4—424no—
2386C2×C4—424no—
2387C2×C4—424no—
2388C2×C4—424no—
2389C2×C4—424no—
2390C2×C4—424no—
2391C2×C4—424no—
2392C2×C4—424no—
2393C2×C4—424no—
2394C2×C4—424no—
2395C2×C4—424no—
2396C2×C4—424no—
2397C2×C4—464no—
2398C2×C4—464no—
2399C2×C4—464no—
2400C2×C4C2×#546196yes—
2401C2×C4C24×D418yes—
2402C2×C4C24×D418yes—
2403C2×C4C24×D418yes—
2404C2×C4C24×D418yes—
2405C2×C4C24×D418yes—
2406C2×C4C23×#4118yes—
2407C2×C4C23×#4118yes—
2408C2×C4C23×#4118yes—
2409C2×C4C22×H(5,𝔽2)18yes—
2410C22—28no—
2411C22—28no—
2412C22—28no—
2413C22—28no—
2414C22—28no—
2415C22—28no—
2416C22—28no—
2417C22—28no—
2418C22—28no—
2419C22—28no—
2420C22—28no—
2421C22—28no—
2422C22—28no—
2423C22—28no—
2424C22—28no—
2425C22—4256no—
2426C22—44no—
2427C22—44no—
2428C22—44no—
2429C22—44no—
2430C22—44no—
2431C22—496no—
2432C22—496no—
2433C22—496no—
2434C22—496no—
2435C22—496no—
2436C22—44no—
2437C22—44no—
2438C22—44no—
2439C22—44no—
2440C22—44no—
2441C22—44no—
2442C22—44no—
2443C22—44no—
2444C22—44no—
2445C22—44no—
2446C22—44no—
2447C22—44no—
2448C22—44no—
2449C22—44no—
2450C22—44no—
2451C22—44no—
2452C22—44no—
2453C22—44no—
2454C22—44no—
2455C22—44no—
2456C22—44no—
2457C22—44no—
2458C22—848no—
2459C22#52117164yesdirect product factor
2460C22C2×#3459112yes—
2461C22C2×#3449112yes—
2462C22C2×#3455112yes—
2463C22C2×#3529112yes—
2464C22C22×#546112yes—
2465C22C2×D4×#41112yes—
2466C22C2×#3475112yes—
2467C22C25×D411yescharacteristic
2468C22C24×#4111yescharacteristic
2469C22C24×#4111yescharacteristic
2470C22C23×H(5,𝔽2)11yescharacteristic
2471C22C22×#58511yescharacteristic
2472C22C22×#58511yescharacteristic
2473C22C22×#58511yescharacteristic
2474C4—28no—
2475C4—28no—
2476C4—28no—
2477C4—28no—
2478C4—28no—
2479C4—28no—
2480C4—44no—
2481C4—44no—
2482C4—44no—
2483C4—44no—
2484C4—44no—
2485C4—44no—
2486C4—44no—
2487C4—44no—
2488C4—44no—
2489C4—44no—
2490C4—44no—
2491C4—44no—
2492C4—44no—
2493C4—44no—
2494C4—44no—
2495C4—44no—
2496C4—44no—
2497C4—44no—
2498C4C22×#546116yes—
2499C2—48no—
2500C2—48no—
2501C2—48no—
2502C2—48no—
2503C2—48no—
2504C2—84no—
2505C2C2×#52117124yesdirect product factor
2506C2C22×#345911yescharacteristic
2507C2C22×#344911yescharacteristic
2508C2C22×#345511yescharacteristic
2509C2C23×#54611yescharacteristic
2510C2C22×D4×#4111yescharacteristic
2511C2C22×#347511yescharacteristic
2512C2C22×#352911yescharacteristic
subgroupG/H
center, socleC24×C4C24
commutator, Frattini, cosocleC23C27
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C24×C4 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C23×#529C2semidirect
2. C23×#525C2semidirect
3. C2×#52117C2direct (N × H)
4. C22×#2689C2semidirect
5. C22×#2686C2semidirect
6. C22×#2694C2semidirect
7. C22×#2695C2semidirect
8. C22×#2687C2semidirect
9. C22×#2688C2semidirect
10. C22×#2696C2semidirect
11. C22×#2693C2semidirect
12. C22×#2690C2semidirect
13. C22×#2691C2semidirect
14. C22×#2685C2semidirect
15. C22×#2684C2semidirect
16. C22×#2692C2semidirect
17. C22×#2671C2semidirect
18. C22×#2678C2semidirect
19. C22×#2668C2semidirect
20. C22×#2398C2semidirect
21. C22×#2396C2semidirect
22. C22×#2395C2semidirect
23. C22×#2395C2semidirect
24. C22×#2392C2semidirect
25. C22×#2388C2semidirect
26. C22×C4×#121C2semidirect
27. C22×C4×#121C2semidirect
28. C22×C4×#120C2semidirect
29. C22×#2297C2semidirect
30. C22×#2290C2semidirect
31. C22×#2290C2semidirect
32. C22×#2280C2semidirect
36. C22×#529C22semidirect
38. C23×#126C22semidirect
39. C23×#125C22semidirect
42. C22×#525C22semidirect
46. C23×#123C22semidirect
49. C23×C22⋊Q8C22semidirect
58. C23×C4×Q8C22semidirect
66. C23×C4×D4C22semidirect
67. C23×C4×D4C22semidirect
71. C23×#117C22semidirect
72. C24×C42C22semidirect
73. C24×C42C22semidirect
74. #52117C22direct (N × H)
75. C2×#2696C22semidirect
76. C2×#2695C22semidirect
77. C2×#2694C22semidirect
78. C2×#2693C22semidirect
79. C2×#2692C22semidirect
80. C2×#2691C22semidirect
81. C2×#2690C22semidirect
82. C2×#2689C22semidirect
83. C2×#2688C22semidirect
84. C2×#2687C22semidirect
85. C2×#2686C22semidirect
86. C2×#2685C22semidirect
87. C2×#2684C22semidirect
88. C2×#2678C22semidirect
89. C2×#2671C22semidirect
90. C2×#2668C22semidirect
91. C2×#2398C22semidirect
92. C2×#2396C22semidirect
93. C2×#2395C22semidirect
94. C2×#2395C22semidirect
95. C22×#400C22semidirect
96. C22×#400C22semidirect
97. C22×#400C22semidirect
98. C22×#400C22semidirect
99. C22×#400C22semidirect
102. C22×#399C22semidirect
103. C2×#2392C22semidirect
104. C22×#398C22semidirect
105. C22×#398C22semidirect
106. C22×#398C22semidirect
107. C22×#398C22semidirect
108. C22×#398C22semidirect
114. C22×#397C22semidirect
115. C22×#397C22semidirect
116. C22×#397C22semidirect
117. C22×#397C22semidirect
120. C22×#396C22semidirect
121. C22×#396C22semidirect
122. C2×#2388C22semidirect
123. C22×#395C22semidirect
124. C22×#395C22semidirect
135. C22×#394C22semidirect
136. C22×#394C22semidirect
139. C22×#393C22semidirect
140. C22×#393C22semidirect
144. C22×#392C22semidirect
145. C2×C4×#121C22semidirect
146. C2×C4×#121C22semidirect
147. C2×C4×#120C22semidirect
148. C2×#2297C22semidirect
149. C22×#391C22semidirect
150. C22×#391C22semidirect
155. C22×#389C22semidirect
156. C22×#389C22semidirect
157. C2×#2290C22semidirect
158. C2×#2290C22semidirect
165. C22×#388C22semidirect
166. C22×#388C22semidirect
167. C22×#387C22semidirect
168. C22×#387C22semidirect
169. C22×#387C22semidirect
170. C22×#387C22semidirect
182. C22×#386C22semidirect
183. C22×#386C22semidirect
184. C22×#386C22semidirect
185. C22×#386C22semidirect
189. C22×#385C22semidirect
190. C22×#385C22semidirect
191. C22×#385C22semidirect
192. C22×#385C22semidirect
193. C2×#2280C22semidirect
200. C22×#380C22semidirect
201. C22×#380C22semidirect
205. C22×C4×C4⋊C4C22semidirect
206. C22×C4×C4⋊C4C22semidirect
207. C22×C4×C4⋊C4C22semidirect
208. C22×C4×C4⋊C4C22semidirect
216. C22×C4×C22⋊C4C22semidirect
217. C22×C4×C22⋊C4C22semidirect
218. C22×C4×C22⋊C4C22semidirect
219. C22×C4×C22⋊C4C22semidirect
220. C22×C4×C22⋊C4C22semidirect
221. C22×#376C22semidirect
259. C2×#529C23semidirect
263. C22×#126C23semidirect
265. C22×#125C23semidirect
269. C2×#525C23semidirect
277. C22×#123C23semidirect
283. C22×C22⋊Q8C23semidirect
301. C22×C4×Q8C23semidirect
310. C22×C4×D4D4semidirect
318. C22×C4×D4C23semidirect
319. C22×C4×D4C23semidirect
327. C22×#117C23semidirect
421. C23×C42C23semidirect
422. C23×C42C23semidirect
423. #2696C23semidirect
424. #2695C23semidirect
425. #2694C23semidirect
426. #2693C23semidirect
427. #2692C23semidirect
428. #2691C23semidirect
429. #2690C23semidirect
430. #2689C23semidirect
431. #2688C23semidirect
432. #2687C23semidirect
433. #2686C23semidirect
434. #2685C23semidirect
435. #2684C23semidirect
436. #2678C23semidirect
437. #2671C23semidirect
438. #2668C23semidirect
439. #2398C23semidirect
440. #2396C23semidirect
441. #2395C23semidirect
442. #2395C23semidirect
443. C2×#400C23semidirect
444. C2×#400C23semidirect
445. C2×#400C23semidirect
446. C2×#400C23semidirect
447. C2×#400C23semidirect
450. C2×#399C23semidirect
451. #2392C23semidirect
452. C2×#398C23semidirect
453. C2×#398C23semidirect
454. C2×#398C23semidirect
455. C2×#398C23semidirect
456. C2×#398C23semidirect
462. C2×#397C23semidirect
463. C2×#397C23semidirect
464. C2×#397C23semidirect
465. C2×#397C23semidirect
468. C2×#396C23semidirect
469. C2×#396C23semidirect
470. #2388C23semidirect
471. C2×#395C23semidirect
472. C2×#395C23semidirect
483. C2×#394C23semidirect
484. C2×#394C23semidirect
487. C2×#393C23semidirect
488. C2×#393C23semidirect
492. C2×#392C23semidirect
493. C4×#121C23semidirect
494. C4×#121C23semidirect
495. C4×#120C23semidirect
496. #2297C23semidirect
497. C2×#391C23semidirect
498. C2×#391C23semidirect
503. C2×#389C23semidirect
504. C2×#389C23semidirect
505. #2290C23semidirect
506. #2290C23semidirect
513. C2×#388C23semidirect
514. C2×#388C23semidirect
515. C2×#387C23semidirect
516. C2×#387C23semidirect
517. C2×#387C23semidirect
518. C2×#387C23semidirect
530. C2×#386C23semidirect
531. C2×#386C23semidirect
532. C2×#386C23semidirect
533. C2×#386C23semidirect
537. C2×#385C23semidirect
538. C2×#385C23semidirect
539. C2×#385C23semidirect
540. C2×#385C23semidirect
541. #2280C23semidirect
548. C2×#380C23semidirect
549. C2×#380C23semidirect
553. C2×C4×C4⋊C4C23semidirect
554. C2×C4×C4⋊C4C23semidirect
555. C2×C4×C4⋊C4C23semidirect
556. C2×C4×C4⋊C4C23semidirect
564. C2×C4×C22⋊C4C23semidirect
565. C2×C4×C22⋊C4C23semidirect
566. C2×C4×C22⋊C4C23semidirect
567. C2×C4×C22⋊C4C23semidirect
568. C2×C4×C22⋊C4C23semidirect
569. C2×#376C23semidirect
668. C23×D4#41semidirect
767. C2×#126C24semidirect
769. C2×#125C24semidirect
780. C2×#123C24semidirect
786. C2×C22⋊Q8C24semidirect
804. C2×C4×Q8C24semidirect
813. C2×C4×D4C2×D4semidirect
821. C2×C4×D4C24semidirect
822. C2×C4×D4C24semidirect
830. C2×#117C24semidirect
1015. C22×C42C24semidirect
1016. C22×C42C24semidirect
1017. #400C24semidirect
1018. #400C24semidirect
1019. #400C24semidirect
1020. #400C24semidirect
1021. #400C24semidirect
1024. #399C24semidirect
1025. #398C24semidirect
1026. #398C24semidirect
1027. #398C24semidirect
1028. #398C24semidirect
1029. #398C24semidirect
1035. #397C24semidirect
1036. #397C24semidirect
1037. #397C24semidirect
1038. #397C24semidirect
1041. #396C24semidirect
1042. #396C24semidirect
1043. #395C24semidirect
1044. #395C24semidirect
1055. #394C24semidirect
1056. #394C24semidirect
1059. #393C24semidirect
1060. #393C24semidirect
1064. #392C24semidirect
1065. #391C24semidirect
1066. #391C24semidirect
1071. #389C24semidirect
1072. #389C24semidirect
1079. #388C24semidirect
1080. #388C24semidirect
1081. #387C24semidirect
1082. #387C24semidirect
1083. #387C24semidirect
1084. #387C24semidirect
1096. #386C24semidirect
1097. #386C24semidirect
1098. #386C24semidirect
1099. #386C24semidirect
1103. #385C24semidirect
1104. #385C24semidirect
1105. #385C24semidirect
1106. #385C24semidirect
1113. #380C24semidirect
1114. #380C24semidirect
1118. C4×C4⋊C4C24semidirect
1119. C4×C4⋊C4C24semidirect
1120. C4×C4⋊C4C24semidirect
1121. C4×C4⋊C4C24semidirect
1129. C4×C22⋊C4C24semidirect
1130. C4×C22⋊C4C24semidirect
1131. C4×C22⋊C4C24semidirect
1132. C4×C22⋊C4C24semidirect
1133. C4×C22⋊C4C24semidirect
1134. #376C24semidirect
1296. C22×D4C2×#41semidirect
1506. C4×D4C22×D4semidirect
1900. C2×D4C22×#41semidirect
2459. C22#52117direct (N × H)
2505. C2C2×#52117direct (N × H)

Maximal subgroups

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

subgroupindex
C23×#5292
C23×#5252
C2×#521172
C22×#26892
C22×#26862
C22×#26942
C22×#26952
C22×#26872
C22×#26882
C22×#26962
C22×#26932
C22×#26902
C22×#26912
C22×#26852
C22×#26842
C22×#26922
C22×#26712
C22×#26782
C22×#26682
C22×#23982
C22×#23962
C22×#23952
C22×#23922
C22×#23882
C22×C4×#1212
C22×C4×#1202
C22×#22972
C22×#22902
C22×#22802