Finite Group Databasebeta

← C2×#43016 #7667151

Subgroups — C2×#43016 #7667151

Order 512.

9784 conjugacy classes of subgroups.

The subgroup lattice has 1764 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#551C211yesmaximal, characteristic, complemented
2C22×#534C211yesmaximal, characteristic
3C2×#2708C211yesmaximal, characteristic, complemented
4C2×#2708C211yesmaximal, characteristic, complemented
5C2×#2697C211yesmaximal, characteristic, complemented
6C2×#2695C211yesmaximal, characteristic, complemented
7C2×#2691C211yesmaximal, characteristic, complemented
8C2×#2687C211yesmaximal, characteristic, complemented
9C2×#2684C211yesmaximal, characteristic, complemented
10C2×#2681C211yesmaximal, characteristic, complemented
11#43016C2132yesmaximal, direct product factor
12C2×#2559C211yesmaximal, characteristic, complemented
13C2×#2553C211yesmaximal, characteristic, complemented
14C2×#2534C211yesmaximal, characteristic, complemented
15C2×#2486C211yesmaximal, characteristic, complemented
16C2×#2488C211yesmaximal, characteristic, complemented
17C2×#2413C211yesmaximal, characteristic, complemented
18C2×#2470C211yesmaximal, characteristic, complemented
19C2×#2476C211yesmaximal, characteristic, complemented
20C2×#2427C211yesmaximal, characteristic, complemented
21C2×#2420C211yesmaximal, characteristic, complemented
22C2×#2419C211yesmaximal, characteristic, complemented
23C2×#2412C211yesmaximal, characteristic, complemented
24C2×#2412C211yesmaximal, characteristic, complemented
25C2×#2405C211yesmaximal, characteristic, complemented
26C2×#2418C211yesmaximal, characteristic, complemented
27C2×#2437C211yesmaximal, characteristic, complemented
28C22×#394C211yesmaximal, characteristic, complemented
29C2×#2358C211yesmaximal, characteristic, complemented
30C2×#2342C211yesmaximal, characteristic, complemented
31C2×D4×C22⋊C4C211yesmaximal, characteristic, complemented
32C2×#2308C211yesmaximal, characteristic, complemented
33C24×D4C2211yescharacteristic
34C24×D4C2211yescharacteristic
35C2×#551—216no—
36C2×#551C22116yescomplemented
37C2×#534—216no—
38C2×#534C22116yes—
39C22×#126C2211yescharacteristic, complemented
40C22×#126C2211yescharacteristic, complemented
41C22×#124C2211yescharacteristic, complemented
42C22×#123C2211yescharacteristic
43C22×#123C2211yescharacteristic
44C22×#123C2211yescharacteristic
45C22×#123C2211yescharacteristic
46C22×#123C2211yescharacteristic
47C22×#123C2211yescharacteristic
48C22×#123C2211yescharacteristic, complemented
49C22×#123C2211yescharacteristic, complemented
50C22×#123C2211yescharacteristic, complemented
51C22×C22⋊Q8C2211yescharacteristic, complemented
52C22×C22⋊Q8C2211yescharacteristic, complemented
53C22×C22⋊Q8C2211yescharacteristic, complemented
54C22×#121C2211yescharacteristic
55C22×#121C2211yescharacteristic
56C22×#121C2211yescharacteristic
57C22×#121C2211yescharacteristic
58C22×#120C2211yescharacteristic
59C22×#120C2211yescharacteristic
60C22×#120C2211yescharacteristic
61C22×#120C2211yescharacteristic
62C22×C4×D4C2211yescharacteristic
63C22×C4×D4C2211yescharacteristic
64C22×C4×D4C2211yescharacteristic, complemented
65C22×C4×D4C2211yescharacteristic, complemented
66C22×#117C2211yescharacteristic, complemented
67C22×#117C2211yescharacteristic, complemented
68C23×C4⋊C4C2211yescharacteristic, complemented
69C23×C22⋊C4C2211yescharacteristic
70C23×C22⋊C4C2211yescharacteristic
71C23×C22⋊C4C2211yescharacteristic
72C23×C22⋊C4C2211yescharacteristic, complemented
73C23×C22⋊C4C2211yescharacteristic, complemented
74C23×C22⋊C4C2211yescharacteristic, complemented
75C23×C22⋊C4C2211yescharacteristic, complemented
76C23×C22⋊C4C2211yescharacteristic, complemented
77#2708C22116yescomplemented
78#2708C22116yescomplemented
79#2697C22116yescomplemented
80#2695C22116yescomplemented
81#2691C22116yescomplemented
82#2687C22116yescomplemented
83#2684C22116yescomplemented
84#2681C22116yescomplemented
85#2559C22116yescomplemented
86#2553C22116yescomplemented
87#2534C22116yescomplemented
88#2488C22116yescomplemented
89#2486C22116yescomplemented
90#2476C22116yescomplemented
91#2470C22116yescomplemented
92#2437C22116yescomplemented
93#2427C22116yescomplemented
94#2420C22116yescomplemented
95#2419C22116yescomplemented
96#2418C22116yescomplemented
97#2413C22116yescomplemented
98#2412C22116yescomplemented
99#2412C22116yescomplemented
100#2405C22116yescomplemented
101C2×#400C2211yescharacteristic, complemented
102C2×#400C2211yescharacteristic, complemented
103C2×#400C2211yescharacteristic, complemented
104C2×#399C2211yescharacteristic, complemented
105C2×#398C2211yescharacteristic, complemented
106C2×#398C2211yescharacteristic, complemented
107C2×#398C2211yescharacteristic, complemented
108C2×#398C2211yescharacteristic, complemented
109C2×#398C2211yescharacteristic, complemented
110C2×#397C2211yescharacteristic, complemented
111C2×#397C2211yescharacteristic, complemented
112C2×#397C2211yescharacteristic, complemented
113C2×#397C2211yescharacteristic, complemented
114C2×#397C2211yescharacteristic, complemented
115C2×#397C2211yescharacteristic, complemented
116C2×#397C2211yescharacteristic, complemented
117C2×#397C2211yescharacteristic, complemented
118C2×#397C2211yescharacteristic, complemented
119C2×#396C2211yescharacteristic, complemented
120C2×#396C2211yescharacteristic, complemented
121C2×#396C2211yescharacteristic, complemented
122C2×#396C2211yescharacteristic, complemented
123C2×#394C2211yescharacteristic
124C2×#394C2211yescharacteristic
125C2×#394C2211yescharacteristic
126C2×#394C2211yescharacteristic
127C2×#394C2211yescharacteristic, complemented
128C2×#394C2211yescharacteristic, complemented
129C2×#394C2211yescharacteristic, complemented
130C2×#394C2211yescharacteristic, complemented
131C2×#394C2211yescharacteristic, complemented
132C2×#394C2211yescharacteristic, complemented
133C2×#394C2211yescharacteristic, complemented
134C2×#394C2211yescharacteristic, complemented
135C2×#394C2211yescharacteristic, complemented
136C2×#394C2211yescharacteristic, complemented
137C2×#394C2211yescharacteristic, complemented
138C2×#394C2211yescharacteristic, complemented
139C2×#394C22116yescomplemented
140C2×#393C2211yescharacteristic, complemented
141C2×#393C2211yescharacteristic, complemented
142#2358C22116yescomplemented
143#2342C22116yescomplemented
144D4×C22⋊C4C22116yescomplemented
145#2308C22116yescomplemented
146C2×#391C2211yescharacteristic, complemented
147C2×#390C2211yescharacteristic, complemented
148C2×#390C2211yescharacteristic, complemented
149C2×#390C2211yescharacteristic, complemented
150C2×#389C2211yescharacteristic, complemented
151C2×#389C2211yescharacteristic, complemented
152C2×#389C2211yescharacteristic, complemented
153C2×#389C2211yescharacteristic, complemented
154C2×#388C2211yescharacteristic, complemented
155C2×#388C2211yescharacteristic, complemented
156C2×#388C2211yescharacteristic, complemented
157C2×#388C2211yescharacteristic, complemented
158C2×#388C2211yescharacteristic, complemented
159C2×#388C2211yescharacteristic, complemented
160C2×#388C2211yescharacteristic, complemented
161C2×#388C2211yescharacteristic, complemented
162C2×#388C2211yescharacteristic, complemented
163C2×#388C2211yescharacteristic, complemented
164C2×#387C2211yescharacteristic, complemented
165C2×#387C2211yescharacteristic, complemented
166C2×#386C2211yescharacteristic
167C2×#386C2211yescharacteristic
168C2×#386C2211yescharacteristic
169C2×#386C2211yescharacteristic
170C2×#386C2211yescharacteristic
171C2×#386C2211yescharacteristic
172C2×#386C2211yescharacteristic
173C2×#386C2211yescharacteristic
174C2×#386C2211yescharacteristic, complemented
175C2×#386C2211yescharacteristic, complemented
176C2×#386C2211yescharacteristic, complemented
177C2×#386C2211yescharacteristic, complemented
178C2×#386C2211yescharacteristic, complemented
179C2×#386C2211yescharacteristic, complemented
180C2×#386C2211yescharacteristic, complemented
181C2×#386C2211yescharacteristic, complemented
182C2×#386C2211yescharacteristic, complemented
183C2×#386C2211yescharacteristic, complemented
184C2×#386C2211yescharacteristic, complemented
185C2×#385C2211yescharacteristic, complemented
186C2×#385C2211yescharacteristic, complemented
187C2×#385C2211yescharacteristic, complemented
188C2×#385C2211yescharacteristic, complemented
189C2×#385C2211yescharacteristic, complemented
190C2×#385C2211yescharacteristic, complemented
191C2×#385C2211yescharacteristic, complemented
192C2×#385C2211yescharacteristic, complemented
193C2×#385C2211yescharacteristic, complemented
194C2×#385C2211yescharacteristic, complemented
195C2×#385C2211yescharacteristic, complemented
196C2×#382C2211yescharacteristic, complemented
197C2×#381C2211yescharacteristic, complemented
198C2×#381C2211yescharacteristic, complemented
199C2×#381C2211yescharacteristic, complemented
200C2×#381C2211yescharacteristic, complemented
201C2×#381C2211yescharacteristic, complemented
202C2×#380C2211yescharacteristic, complemented
203C2×#380C2211yescharacteristic, complemented
204C2×#380C2211yescharacteristic, complemented
205C2×#380C2211yescharacteristic, complemented
206C2×#380C2211yescharacteristic, complemented
207C2×#380C2211yescharacteristic, complemented
208C2×#380C2211yescharacteristic, complemented
209C2×#380C2211yescharacteristic, complemented
210C2×#379C2211yescharacteristic
211C2×#379C2211yescharacteristic
212C2×#379C2211yescharacteristic, complemented
213C2×#379C2211yescharacteristic, complemented
214C2×#379C2211yescharacteristic, complemented
215C2×C4×C22⋊C4C2211yescharacteristic, complemented
216C2×C4×C22⋊C4C2211yescharacteristic, complemented
217C2×C4×C22⋊C4C2211yescharacteristic, complemented
218C2×C4×C22⋊C4C2211yescharacteristic, complemented
219C2×C4×C22⋊C4C2211yescharacteristic, complemented
220C22×#95C2211yescharacteristic, complemented
221C26C2311yescharacteristic
222C26C2311yescharacteristic
223C26C2311yescharacteristic
224C23×Q8C2311yescharacteristic
225C23×D4—28no—
226C23×D4—28no—
227C23×D4—28no—
228C23×D4—28no—
229C23×D4—44no—
230C23×D4—44no—
231C23×D4C2311yescharacteristic
232C23×D4C2318yes—
233C23×D4C2318yes—
234C23×D4C2311yescharacteristic
235C23×D4C2311yescharacteristic
236C23×D4C2311yescharacteristic
237C23×D4C2311yescharacteristic
238C23×D4C2311yescharacteristic
239C23×D4C2311yescharacteristic
240C23×D4C2311yescharacteristic
241C23×D4C2311yescharacteristic
242C23×D4C2311yescharacteristic
243C23×D4C2311yescharacteristic
244C23×D4C2311yescharacteristic
245C24×C4C2311yescharacteristic
246C24×C4C2311yescharacteristic
247C24×C4C2311yescharacteristic
248C24×C4C2311yescharacteristic
249C24×C4C2311yescharacteristic
250C24×C4C2311yescharacteristic
251C24×C4C2311yescharacteristic
252C24×C4C2311yescharacteristic
253C24×C4C2311yescharacteristic
254C24×C4C2311yescharacteristic
255C24×C4C2311yescharacteristic
256C24×C4C2311yescharacteristic
257C24×C4C2311yescharacteristic
258C24×C4C2311yescharacteristic
259#551—2128no—
260#534—2128no—
261C2×#126—28no—
262C2×#126—28no—
263C2×#126C2318yescomplemented
264C2×#126C2318yescomplemented
265C2×#124—28no—
266C2×#124C2318yescomplemented
267C2×#123—28no—
268C2×#123—28no—
269C2×#123—28no—
270C2×#123—28no—
271C2×#123—28no—
272C2×#123—28no—
273C2×#123—28no—
274C2×#123—44no—
275C2×#123—44no—
276C2×#123C2318yes—
277C2×#123C2318yes—
278C2×#123C2318yes—
279C2×#123C2318yes—
280C2×#123C2318yes—
281C2×#123C2318yes—
282C2×#123C2318yescomplemented
283C2×#123C2318yescomplemented
284C2×#123C2318yescomplemented
285C2×C22⋊Q8—28no—
286C2×C22⋊Q8—28no—
287C2×C22⋊Q8—44no—
288C2×C22⋊Q8C2318yescomplemented
289C2×C22⋊Q8C2318yescomplemented
290C2×C22⋊Q8C2318yescomplemented
291C2×#121—28no—
292C2×#121—28no—
293C2×#121—28no—
294C2×#121—28no—
295C2×#121C2318yes—
296C2×#121C2318yes—
297C2×#121C2318yes—
298C2×#121C2318yes—
299C2×#120—28no—
300C2×#120—28no—
301C2×#120—28no—
302C2×#120D4116yes—
303C2×#120C2318yes—
304C2×#120C2318yes—
305C2×#120C2318yes—
306C2×#120C2318yes—
307C2×C4×D4—28no—
308C2×C4×D4—28no—
309C2×C4×D4—44no—
310C2×C4×D4—44no—
311C2×C4×D4C2318yes—
312C2×C4×D4C2318yes—
313C2×C4×D4C2318yescomplemented
314C2×C4×D4C2318yescomplemented
315C2×#117—28no—
316C2×#117—28no—
317C2×#117C2318yescomplemented
318C2×#117C2318yescomplemented
319C22×C4⋊C4—44no—
320C22×C4⋊C4C2311yescharacteristic
321C22×C4⋊C4C2311yescharacteristic
322C22×C4⋊C4C2311yescharacteristic
323C22×C4⋊C4C2311yescharacteristic
324C22×C4⋊C4C2311yescharacteristic
325C22×C4⋊C4C2311yescharacteristic
326C22×C4⋊C4C2311yescharacteristic
327C22×C4⋊C4C2311yescharacteristic
328C22×C4⋊C4C2311yescharacteristic
329C22×C4⋊C4C2311yescharacteristic
330C22×C4⋊C4C2311yescharacteristic
331C22×C4⋊C4C2311yescharacteristic
332C22×C4⋊C4C2311yescharacteristic
333C22×C4⋊C4C2311yescharacteristic
334C22×C4⋊C4C2311yescharacteristic
335C22×C4⋊C4C2311yescharacteristic
336C22×C4⋊C4C2311yescharacteristic
337C22×C4⋊C4C2311yescharacteristic
338C22×C4⋊C4C2311yescharacteristic
339C22×C4⋊C4C2311yescharacteristic
340C22×C4⋊C4C2311yescharacteristic
341C22×C4⋊C4C2311yescharacteristic
342C22×C4⋊C4C2311yescharacteristic
343C22×C4⋊C4C2311yescharacteristic
344C22×C4⋊C4C2311yescharacteristic
345C22×C4⋊C4C2311yescharacteristic
346C22×C4⋊C4C2311yescharacteristic
347C22×C4⋊C4C2318yescomplemented
348C22×C22⋊C4—28no—
349C22×C22⋊C4—28no—
350C22×C22⋊C4—28no—
351C22×C22⋊C4—28no—
352C22×C22⋊C4—44no—
353C22×C22⋊C4—44no—
354C22×C22⋊C4—44no—
355C22×C22⋊C4—44no—
356C22×C22⋊C4C2318yes—
357C22×C22⋊C4C2318yes—
358C22×C22⋊C4C2311yescharacteristic
359C22×C22⋊C4C2311yescharacteristic
360C22×C22⋊C4C2311yescharacteristic
361C22×C22⋊C4C2311yescharacteristic
362C22×C22⋊C4C2311yescharacteristic
363C22×C22⋊C4C2311yescharacteristic
364C22×C22⋊C4C2311yescharacteristic
365C22×C22⋊C4C2311yescharacteristic
366C22×C22⋊C4C2311yescharacteristic
367C22×C22⋊C4C2311yescharacteristic
368C22×C22⋊C4C2311yescharacteristic
369C22×C22⋊C4C2311yescharacteristic
370C22×C22⋊C4C2311yescharacteristic
371C22×C22⋊C4C2311yescharacteristic
372C22×C22⋊C4C2311yescharacteristic
373C22×C22⋊C4C2311yescharacteristic
374C22×C22⋊C4C2311yescharacteristic
375C22×C22⋊C4C2311yescharacteristic
376C22×C22⋊C4C2311yescharacteristic
377C22×C22⋊C4C2311yescharacteristic
378C22×C22⋊C4C2311yescharacteristic
379C22×C22⋊C4C2311yescharacteristic
380C22×C22⋊C4C2311yescharacteristic
381C22×C22⋊C4C2311yescharacteristic
382C22×C22⋊C4C2311yescharacteristic
383C22×C22⋊C4C2311yescharacteristic
384C22×C22⋊C4C2311yescharacteristic
385C22×C22⋊C4C2311yescharacteristic
386C22×C22⋊C4C2311yescharacteristic
387C22×C22⋊C4C2311yescharacteristic
388C22×C22⋊C4C2311yescharacteristic
389C22×C22⋊C4C2318yes—
390C22×C22⋊C4C2311yescharacteristic
391C22×C22⋊C4C2311yescharacteristic
392C22×C22⋊C4C2311yescharacteristic
393C22×C22⋊C4C2311yescharacteristic
394C22×C22⋊C4C2311yescharacteristic
395C22×C22⋊C4C2311yescharacteristic
396C22×C22⋊C4C2311yescharacteristic
397C22×C22⋊C4C2311yescharacteristic
398C22×C22⋊C4C2311yescharacteristic
399C22×C22⋊C4C2311yescharacteristic
400C22×C22⋊C4C2311yescharacteristic
401C22×C22⋊C4C2311yescharacteristic
402C22×C22⋊C4C2311yescharacteristic
403C22×C22⋊C4C2311yescharacteristic
404C22×C22⋊C4C2311yescharacteristic
405C22×C22⋊C4C2311yescharacteristic
406C22×C22⋊C4C2311yescharacteristic
407C22×C22⋊C4C2311yescharacteristic
408C22×C22⋊C4C2311yescharacteristic
409C22×C22⋊C4C2311yescharacteristic
410C22×C22⋊C4C2311yescharacteristic
411C22×C22⋊C4C2311yescharacteristic
412C22×C22⋊C4C2311yescharacteristic
413C22×C22⋊C4C2311yescharacteristic
414C22×C22⋊C4C2311yescharacteristic
415C22×C22⋊C4C2311yescharacteristic
416C22×C22⋊C4C2311yescharacteristic
417C22×C22⋊C4C2318yescomplemented
418C22×C22⋊C4C2318yescomplemented
419C22×C22⋊C4C2318yescomplemented
420C22×C22⋊C4C2318yescomplemented
421C22×C22⋊C4C2318yescomplemented
422C22×C42C2311yescharacteristic
423C22×C42C2311yescharacteristic
424C22×C42C2311yescharacteristic
425C22×C42C2311yescharacteristic
426C22×C42C2311yescharacteristic
427C22×C42C2311yescharacteristic
428#400C2318yescomplemented
429#400C2318yescomplemented
430#400C2318yescomplemented
431#399C2318yescomplemented
432#398C2318yescomplemented
433#398C2318yescomplemented
434#398C2318yescomplemented
435#398C2318yescomplemented
436#398C2318yescomplemented
437#397C2318yescomplemented
438#397C2318yescomplemented
439#397C2318yescomplemented
440#397C2318yescomplemented
441#397C2318yescomplemented
442#397C2318yescomplemented
443#397C2318yescomplemented
444#397C2318yescomplemented
445#397C2318yescomplemented
446#396C2318yescomplemented
447#396C2318yescomplemented
448#396C2318yescomplemented
449#396C2318yescomplemented
450#394C2318yes—
451#394C2318yes—
452#394C2318yes—
453#394C2318yes—
454#394C2318yescomplemented
455#394C2318yescomplemented
456#394C2318yescomplemented
457#394C2318yescomplemented
458#394C2318yescomplemented
459#394C2318yescomplemented
460#394C2318yescomplemented
461#394C2318yescomplemented
462#394C2318yescomplemented
463#394C2318yescomplemented
464#394C2318yescomplemented
465#394C2318yescomplemented
466#393C2318yescomplemented
467#393C2318yescomplemented
468#391C2318yescomplemented
469#390C2318yescomplemented
470#390C2318yescomplemented
471#390C2318yescomplemented
472#389C2318yescomplemented
473#389C2318yescomplemented
474#389C2318yescomplemented
475#389C2318yescomplemented
476#388C2318yescomplemented
477#388C2318yescomplemented
478#388C2318yescomplemented
479#388C2318yescomplemented
480#388C2318yescomplemented
481#388C2318yescomplemented
482#388C2318yescomplemented
483#388C2318yescomplemented
484#388C2318yescomplemented
485#388C2318yescomplemented
486#387C2318yescomplemented
487#387C2318yescomplemented
488#386C2318yes—
489#386C2318yes—
490#386C2318yes—
491#386C2318yes—
492#386C2318yes—
493#386C2318yes—
494#386C2318yes—
495#386C2318yes—
496#386C2318yescomplemented
497#386C2318yescomplemented
498#386C2318yescomplemented
499#386C2318yescomplemented
500#386C2318yescomplemented
501#386C2318yescomplemented
502#386C2318yescomplemented
503#386C2318yescomplemented
504#386C2318yescomplemented
505#386C2318yescomplemented
506#386C2318yescomplemented
507#385C2318yescomplemented
508#385C2318yescomplemented
509#385C2318yescomplemented
510#385C2318yescomplemented
511#385C2318yescomplemented
512#385C2318yescomplemented
513#385C2318yescomplemented
514#385C2318yescomplemented
515#385C2318yescomplemented
516#385C2318yescomplemented
517#385C2318yescomplemented
518#382C2318yescomplemented
519#381C2318yescomplemented
520#381C2318yescomplemented
521#381C2318yescomplemented
522#381C2318yescomplemented
523#381C2318yescomplemented
524#380C2318yescomplemented
525#380C2318yescomplemented
526#380C2318yescomplemented
527#380C2318yescomplemented
528#380C2318yescomplemented
529#380C2318yescomplemented
530#380C2318yescomplemented
531#380C2318yescomplemented
532#379C2318yes—
533#379C2318yes—
534#379C2318yescomplemented
535#379C2318yescomplemented
536#379C2318yescomplemented
537C4×C22⋊C4C2318yescomplemented
538C4×C22⋊C4C2318yescomplemented
539C4×C22⋊C4C2318yescomplemented
540C4×C22⋊C4C2318yescomplemented
541C4×C22⋊C4C2318yescomplemented
542C2×#95C2311yescharacteristic
543C2×#95C2311yescharacteristic
544C2×#95C2311yescharacteristic
545C2×#95C2311yescharacteristic
546C2×#95C2311yescharacteristic
547C2×#95C2311yescharacteristic
548C2×#95C2311yescharacteristic
549C2×#95C2311yescharacteristic
550C2×#95C2311yescharacteristic
551C2×#95C2311yescharacteristic
552C2×#95C2311yescharacteristic
553C2×#95C2311yescharacteristic
554C2×#95C2311yescharacteristic
555C2×#95C2311yescharacteristic
556C2×#95C2311yescharacteristic
557C2×#95C2311yescharacteristic
558C2×#95C2311yescharacteristic
559C2×#95C2311yescharacteristic
560C2×#95C2311yescharacteristic
561C2×#95C2311yescharacteristic
562C2×#95C2311yescharacteristic
563C2×#95C2311yescharacteristic
564C2×#95C2311yescharacteristic
565C2×#95C2311yescharacteristic
566C2×#95C2311yescharacteristic
567C2×#95C2311yescharacteristic
568C2×#95C2311yescharacteristic
569C2×#95C2311yescharacteristic
570C2×#95C2311yescharacteristic
571C2×#95C2311yescharacteristic
572C2×#95C2311yescharacteristic
573C2×#95C2311yescharacteristic
574C2×#95C2311yescharacteristic
575C2×#95C2311yescharacteristic
576C2×#95C2318yescomplemented
577C25—24no—
578C25—24no—
579C25—24no—
580C25—24no—
581C25—24no—
582C25—24no—
583C25—42no—
584C25—42no—
585C25—42no—
586C25—42no—
587C25—42no—
588C25—42no—
589C25—42no—
590C25—42no—
591C25—42no—
592C25—42no—
593C25—42no—
594C25—42no—
595C25—42no—
596C25C2×D418yes—
597C25#4118yes—
598C25C2411yescharacteristic
599C25C2411yescharacteristic
600C25C2411yescharacteristic
601C25C2411yescharacteristic
602C25C2411yescharacteristic
603C25C2411yescharacteristic
604C25C2411yescharacteristic
605C25C2414yes—
606C25C2414yes—
607C25C2414yes—
608C22×Q8—24no—
609C22×Q8—42no—
610C22×Q8—42no—
611C22×Q8C2414yes—
612C22×D4—24no—
613C22×D4—24no—
614C22×D4—24no—
615C22×D4—24no—
616C22×D4—24no—
617C22×D4—24no—
618C22×D4—24no—
619C22×D4—24no—
620C22×D4—232no—
621C22×D4—24no—
622C22×D4—232no—
623C22×D4—24no—
624C22×D4—24no—
625C22×D4—24no—
626C22×D4—24no—
627C22×D4—24no—
628C22×D4—232no—
629C22×D4—24no—
630C22×D4—24no—
631C22×D4—24no—
632C22×D4—24no—
633C22×D4—232no—
634C22×D4—24no—
635C22×D4—42no—
636C22×D4—42no—
637C22×D4—42no—
638C22×D4—42no—
639C22×D4—42no—
640C22×D4—42no—
641C22×D4—416no—
642C22×D4—42no—
643C22×D4—42no—
644C22×D4—42no—
645C22×D4—42no—
646C22×D4—42no—
647C22×D4—42no—
648C22×D4—42no—
649C22×D4—42no—
650C22×D4—416no—
651C22×D4—464no—
652C22×D4—464no—
653C22×D4C2×D418yes—
654C22×D4C2×D418yes—
655C22×D4C2×D418yes—
656C22×D4C2414yes—
657C22×D4C2414yes—
658C22×D4C2414yes—
659C22×D4C2414yes—
660C22×D4C2414yes—
661C22×D4C2414yes—
662C22×D4C2414yes—
663C22×D4C2414yes—
664C22×D4C2414yes—
665C22×D4C2414yes—
666C22×D4C2414yes—
667C22×D4C2414yes—
668C23×C4—24no—
669C23×C4—24no—
670C23×C4—24no—
671C23×C4—24no—
672C23×C4—24no—
673C23×C4—24no—
674C23×C4—24no—
675C23×C4—24no—
676C23×C4—24no—
677C23×C4—24no—
678C23×C4—24no—
679C23×C4—24no—
680C23×C4—24no—
681C23×C4—24no—
682C23×C4—24no—
683C23×C4—24no—
684C23×C4—24no—
685C23×C4—24no—
686C23×C4—42no—
687C23×C4—42no—
688C23×C4—42no—
689C23×C4—42no—
690C23×C4—42no—
691C23×C4—42no—
692C23×C4—42no—
693C23×C4—42no—
694C23×C4—42no—
695C23×C4—42no—
696C23×C4—42no—
697C23×C4—42no—
698C23×C4—42no—
699C23×C4—42no—
700C23×C4—42no—
701C23×C4—42no—
702C23×C4—42no—
703C23×C4—42no—
704C23×C4—42no—
705C23×C4—42no—
706C23×C4—42no—
707C23×C4—42no—
708C23×C4—42no—
709C23×C4—42no—
710C23×C4C2414yes—
711C23×C4C2414yes—
712C23×C4C2411yescharacteristic
713C23×C4C2411yescharacteristic
714C23×C4C2411yescharacteristic
715C23×C4C2411yescharacteristic
716C23×C4C2411yescharacteristic
717C23×C4C2411yescharacteristic
718C23×C4C2411yescharacteristic
719C23×C4C2411yescharacteristic
720C23×C4C2411yescharacteristic
721C23×C4C2411yescharacteristic
722C23×C4C2411yescharacteristic
723C23×C4C2411yescharacteristic
724C23×C4C2411yescharacteristic
725C23×C4C2411yescharacteristic
726C23×C4C2411yescharacteristic
727C23×C4C2411yescharacteristic
728C23×C4C2411yescharacteristic
729C23×C4C2411yescharacteristic
730C23×C4C2411yescharacteristic
731C23×C4C2411yescharacteristic
732C23×C4C2414yes—
733C23×C4C2414yes—
734C23×C4C2411yescharacteristic
735C23×C4C2411yescharacteristic
736C23×C4C2411yescharacteristic
737C23×C4C2411yescharacteristic
738C23×C4C2414yes—
739C23×C4C2414yes—
740C23×C4C2414yes—
741C23×C4C2414yes—
742C23×C4C2414yes—
743C23×C4C2414yes—
744C23×C4C2414yes—
745C23×C4C2414yes—
746C23×C4C2414yes—
747C23×C4C2414yes—
748#126—232no—
749#126—232no—
750#124—232no—
751#123—232no—
752#123—232no—
753#123—232no—
754#123—232no—
755#123—232no—
756#123—232no—
757#123—232no—
758#123—416no—
759#123—416no—
760C22⋊Q8—232no—
761C22⋊Q8—232no—
762C22⋊Q8—416no—
763#121—232no—
764#121—232no—
765#121—232no—
766#121—232no—
767#120—232no—
768#120—232no—
769#120—232no—
770#120C2×D4164yes—
771C4×D4—232no—
772C4×D4—232no—
773C4×D4—416no—
774C4×D4—416no—
775#117—232no—
776#117—232no—
777C2×C4⋊C4—24no—
778C2×C4⋊C4—24no—
779C2×C4⋊C4—24no—
780C2×C4⋊C4—24no—
781C2×C4⋊C4—24no—
782C2×C4⋊C4—24no—
783C2×C4⋊C4—24no—
784C2×C4⋊C4—24no—
785C2×C4⋊C4—24no—
786C2×C4⋊C4—24no—
787C2×C4⋊C4—24no—
788C2×C4⋊C4—24no—
789C2×C4⋊C4—24no—
790C2×C4⋊C4—24no—
791C2×C4⋊C4—42no—
792C2×C4⋊C4—42no—
793C2×C4⋊C4—42no—
794C2×C4⋊C4—42no—
795C2×C4⋊C4—416no—
796C2×C4⋊C4—42no—
797C2×C4⋊C4—42no—
798C2×C4⋊C4—42no—
799C2×C4⋊C4—42no—
800C2×C4⋊C4—42no—
801C2×C4⋊C4—42no—
802C2×C4⋊C4—42no—
803C2×C4⋊C4—42no—
804C2×C4⋊C4—42no—
805C2×C4⋊C4C2414yes—
806C2×C4⋊C4C2414yes—
807C2×C4⋊C4C2414yes—
808C2×C4⋊C4C2414yes—
809C2×C4⋊C4C2414yes—
810C2×C4⋊C4C2414yes—
811C2×C4⋊C4C2414yes—
812C2×C4⋊C4C2414yes—
813C2×C4⋊C4C2414yes—
814C2×C4⋊C4C2414yes—
815C2×C4⋊C4C2414yes—
816C2×C4⋊C4C2414yes—
817C2×C4⋊C4C2414yes—
818C2×C4⋊C4C2414yes—
819C2×C4⋊C4C2414yes—
820C2×C4⋊C4C2414yes—
821C2×C4⋊C4C2414yes—
822C2×C4⋊C4C2414yes—
823C2×C4⋊C4C2414yes—
824C2×C4⋊C4C2414yes—
825C2×C4⋊C4C2414yes—
826C2×C4⋊C4C2414yes—
827C2×C4⋊C4C2414yes—
828C2×C4⋊C4C2414yes—
829C2×C4⋊C4C2414yes—
830C2×C4⋊C4C2414yes—
831C2×C4⋊C4C2414yes—
832C2×C22⋊C4—24no—
833C2×C22⋊C4—24no—
834C2×C22⋊C4—24no—
835C2×C22⋊C4—24no—
836C2×C22⋊C4—24no—
837C2×C22⋊C4—24no—
838C2×C22⋊C4—24no—
839C2×C22⋊C4—24no—
840C2×C22⋊C4—24no—
841C2×C22⋊C4—232no—
842C2×C22⋊C4—232no—
843C2×C22⋊C4—24no—
844C2×C22⋊C4—24no—
845C2×C22⋊C4—24no—
846C2×C22⋊C4—24no—
847C2×C22⋊C4—24no—
848C2×C22⋊C4—24no—
849C2×C22⋊C4—24no—
850C2×C22⋊C4—24no—
851C2×C22⋊C4—24no—
852C2×C22⋊C4—24no—
853C2×C22⋊C4—24no—
854C2×C22⋊C4—232no—
855C2×C22⋊C4—24no—
856C2×C22⋊C4—24no—
857C2×C22⋊C4—24no—
858C2×C22⋊C4—24no—
859C2×C22⋊C4—24no—
860C2×C22⋊C4—24no—
861C2×C22⋊C4—24no—
862C2×C22⋊C4—24no—
863C2×C22⋊C4—24no—
864C2×C22⋊C4—24no—
865C2×C22⋊C4—24no—
866C2×C22⋊C4—232no—
867C2×C22⋊C4—416no—
868C2×C22⋊C4—416no—
869C2×C22⋊C4—416no—
870C2×C22⋊C4—416no—
871C2×C22⋊C4—42no—
872C2×C22⋊C4—42no—
873C2×C22⋊C4—42no—
874C2×C22⋊C4—42no—
875C2×C22⋊C4—42no—
876C2×C22⋊C4—42no—
877C2×C22⋊C4—42no—
878C2×C22⋊C4—42no—
879C2×C22⋊C4—42no—
880C2×C22⋊C4—42no—
881C2×C22⋊C4—42no—
882C2×C22⋊C4—42no—
883C2×C22⋊C4—42no—
884C2×C22⋊C4—42no—
885C2×C22⋊C4—42no—
886C2×C22⋊C4—42no—
887C2×C22⋊C4—42no—
888C2×C22⋊C4—42no—
889C2×C22⋊C4—42no—
890C2×C22⋊C4—42no—
891C2×C22⋊C4—42no—
892C2×C22⋊C4—42no—
893C2×C22⋊C4—42no—
894C2×C22⋊C4—42no—
895C2×C22⋊C4C2×D418yes—
896C2×C22⋊C4C2×D418yes—
897C2×C22⋊C4C2×D418yes—
898C2×C22⋊C4C2414yes—
899C2×C22⋊C4C2414yes—
900C2×C22⋊C4C2414yes—
901C2×C22⋊C4C2414yes—
902C2×C22⋊C4C2414yes—
903C2×C22⋊C4C2414yes—
904C2×C22⋊C4C2414yes—
905C2×C22⋊C4C2414yes—
906C2×C22⋊C4C2414yes—
907C2×C22⋊C4C2414yes—
908C2×C22⋊C4C2414yes—
909C2×C22⋊C4C2414yes—
910C2×C22⋊C4C2414yes—
911C2×C22⋊C4C2414yes—
912C2×C22⋊C4C2414yes—
913C2×C22⋊C4C2414yes—
914C2×C22⋊C4C2414yes—
915C2×C22⋊C4C2414yes—
916C2×C22⋊C4C2414yes—
917C2×C22⋊C4C2414yes—
918C2×C22⋊C4C2414yes—
919C2×C22⋊C4C2414yes—
920C2×C22⋊C4C2414yes—
921C2×C22⋊C4C2414yes—
922C2×C22⋊C4C2414yes—
923C2×C22⋊C4C2414yes—
924C2×C22⋊C4C2414yes—
925C2×C22⋊C4C2414yes—
926C2×C22⋊C4C2414yes—
927C2×C22⋊C4C2414yes—
928C2×C22⋊C4C2414yes—
929C2×C22⋊C4C2414yes—
930C2×C22⋊C4C2414yes—
931C2×C22⋊C4C2414yes—
932C2×C22⋊C4C2414yes—
933C2×C22⋊C4C2414yes—
934C2×C22⋊C4C2414yes—
935C2×C22⋊C4C2414yes—
936C2×C22⋊C4C2414yes—
937C2×C22⋊C4C2414yes—
938C2×C22⋊C4C2414yes—
939C2×C22⋊C4C2414yes—
940C2×C22⋊C4C2414yes—
941C2×C22⋊C4C2414yes—
942C2×C22⋊C4C2414yes—
943C2×C22⋊C4C2414yes—
944C2×C22⋊C4C2414yes—
945C2×C22⋊C4C2414yes—
946C2×C22⋊C4C2414yes—
947C2×C22⋊C4C2414yes—
948C2×C22⋊C4C2414yes—
949C2×C22⋊C4C2414yes—
950C2×C22⋊C4C2414yes—
951C2×C22⋊C4C2414yes—
952C2×C22⋊C4C2414yes—
953C2×C22⋊C4C2414yes—
954C2×C22⋊C4C2414yes—
955C2×C22⋊C4C2414yes—
956C2×C42—24no—
957C2×C42—24no—
958C2×C42—24no—
959C2×C42—42no—
960C2×C42—42no—
961C2×C42—42no—
962C2×C42C2414yes—
963C2×C42C2414yes—
964C2×C42C2414yes—
965C2×C42C2414yes—
966C2×C42C2414yes—
967C2×C42C2414yes—
968#95C2414yes—
969#95C2414yes—
970#95C2414yes—
971#95C2414yes—
972#95C2414yes—
973#95C2414yes—
974#95C2414yes—
975#95C2414yes—
976#95C2414yes—
977#95C2414yes—
978#95C2414yes—
979#95C2414yes—
980#95C2414yes—
981#95C2414yes—
982#95C2414yes—
983#95C2414yes—
984#95C2414yes—
985#95C2414yes—
986#95C2414yes—
987#95C2414yes—
988#95C2414yes—
989#95C2414yes—
990#95C2414yes—
991#95C2414yes—
992#95C2414yes—
993#95C2414yes—
994#95C2414yes—
995#95C2414yes—
996#95C2414yes—
997#95C2414yes—
998#95C2414yes—
999#95C2414yes—
1000#95C2414yes—
1001#95C2414yes—
1002C24—22no—
1003C24—22no—
1004C24—22no—
1005C24—22no—
1006C24—22no—
1007C24—22no—
1008C24—22no—
1009C24—22no—
1010C24—22no—
1011C24—22no—
1012C24—22no—
1013C24—22no—
1014C24—22no—
1015C24—22no—
1016C24—22no—
1017C24—22no—
1018C24—22no—
1019C24—22no—
1020C24—22no—
1021C24—22no—
1022C24—22no—
1023C24—22no—
1024C24—22no—
1025C24—22no—
1026C24—22no—
1027C24—22no—
1028C24—22no—
1029C24—22no—
1030C24—22no—
1031C24—22no—
1032C24—22no—
1033C24—22no—
1034C24—22no—
1035C24—22no—
1036C24—232no—
1037C24—232no—
1038C24—28no—
1039C24—28no—
1040C24—28no—
1041C24—28no—
1042C24—22no—
1043C24—22no—
1044C24—22no—
1045C24—22no—
1046C24—22no—
1047C24—22no—
1048C24—22no—
1049C24—28no—
1050C24—28no—
1051C24—44no—
1052C24—44no—
1053C24—44no—
1054C24—44no—
1055C24—416no—
1056C24—416no—
1057C24—416no—
1058C24—416no—
1059C24—44no—
1060C24—44no—
1061C24—44no—
1062C24—44no—
1063C24—44no—
1064C24—44no—
1065C24—44no—
1066C24—44no—
1067C24—44no—
1068C24—416no—
1069C24—416no—
1070C24—88no—
1071C24—88no—
1072C24—88no—
1073C24—88no—
1074C24—88no—
1075C24—88no—
1076C24—88no—
1077C24—88no—
1078C24—88no—
1079C24—88no—
1080C24—88no—
1081C24—88no—
1082C24—88no—
1083C24C22×D414yes—
1084C24C22×D414yes—
1085C24C22×D414yes—
1086C24C22×D414yes—
1087C24C22×D4116yes—
1088C24C2×#4114yes—
1089C24C2×#4114yes—
1090C24C2×#4114yes—
1091C24C2×#41116yes—
1092C24H(5,𝔽2)14yes—
1093C24C2512yes—
1094C24C2512yes—
1095C24C2512yes—
1096C24C2512yes—
1097C24C2512yes—
1098C24C2512yes—
1099C24C2512yes—
1100C24C2511yescharacteristic
1101C2×Q8—28no—
1102C2×Q8—44no—
1103C2×Q8—44no—
1104C2×Q8—88no—
1105C2×D4—232no—
1106C2×D4—28no—
1107C2×D4—28no—
1108C2×D4—28no—
1109C2×D4—28no—
1110C2×D4—28no—
1111C2×D4—28no—
1112C2×D4—28no—
1113C2×D4—28no—
1114C2×D4—28no—
1115C2×D4—28no—
1116C2×D4—28no—
1117C2×D4—28no—
1118C2×D4—28no—
1119C2×D4—28no—
1120C2×D4—28no—
1121C2×D4—28no—
1122C2×D4—28no—
1123C2×D4—28no—
1124C2×D4—28no—
1125C2×D4—44no—
1126C2×D4—44no—
1127C2×D4—44no—
1128C2×D4—44no—
1129C2×D4—44no—
1130C2×D4—44no—
1131C2×D4—44no—
1132C2×D4—416no—
1133C2×D4—416no—
1134C2×D4—44no—
1135C2×D4—44no—
1136C2×D4—44no—
1137C2×D4—416no—
1138C2×D4—44no—
1139C2×D4—44no—
1140C2×D4—44no—
1141C2×D4—44no—
1142C2×D4—4128no—
1143C2×D4—416no—
1144C2×D4—416no—
1145C2×D4—416no—
1146C2×D4—416no—
1147C2×D4—416no—
1148C2×D4—4128no—
1149C2×D4—416no—
1150C2×D4—88no—
1151C2×D4—88no—
1152C2×D4C22×D4116yes—
1153C2×D4C22×D4116yes—
1154C2×D4C22×D4116yes—
1155C22×C4—22no—
1156C22×C4—22no—
1157C22×C4—22no—
1158C22×C4—22no—
1159C22×C4—22no—
1160C22×C4—22no—
1161C22×C4—22no—
1162C22×C4—22no—
1163C22×C4—22no—
1164C22×C4—22no—
1165C22×C4—22no—
1166C22×C4—22no—
1167C22×C4—22no—
1168C22×C4—22no—
1169C22×C4—22no—
1170C22×C4—22no—
1171C22×C4—22no—
1172C22×C4—22no—
1173C22×C4—22no—
1174C22×C4—22no—
1175C22×C4—22no—
1176C22×C4—28no—
1177C22×C4—28no—
1178C22×C4—28no—
1179C22×C4—28no—
1180C22×C4—22no—
1181C22×C4—22no—
1182C22×C4—22no—
1183C22×C4—22no—
1184C22×C4—28no—
1185C22×C4—28no—
1186C22×C4—22no—
1187C22×C4—22no—
1188C22×C4—22no—
1189C22×C4—22no—
1190C22×C4—22no—
1191C22×C4—22no—
1192C22×C4—22no—
1193C22×C4—22no—
1194C22×C4—22no—
1195C22×C4—22no—
1196C22×C4—22no—
1197C22×C4—22no—
1198C22×C4—22no—
1199C22×C4—22no—
1200C22×C4—22no—
1201C22×C4—22no—
1202C22×C4—22no—
1203C22×C4—22no—
1204C22×C4—22no—
1205C22×C4—22no—
1206C22×C4—28no—
1207C22×C4—28no—
1208C22×C4—28no—
1209C22×C4—22no—
1210C22×C4—22no—
1211C22×C4—22no—
1212C22×C4—22no—
1213C22×C4—22no—
1214C22×C4—22no—
1215C22×C4—22no—
1216C22×C4—22no—
1217C22×C4—22no—
1218C22×C4—22no—
1219C22×C4—22no—
1220C22×C4—22no—
1221C22×C4—22no—
1222C22×C4—22no—
1223C22×C4—22no—
1224C22×C4—22no—
1225C22×C4—22no—
1226C22×C4—22no—
1227C22×C4—22no—
1228C22×C4—22no—
1229C22×C4—22no—
1230C22×C4—22no—
1231C22×C4—22no—
1232C22×C4—28no—
1233C22×C4—28no—
1234C22×C4—28no—
1235C22×C4—28no—
1236C22×C4—28no—
1237C22×C4—28no—
1238C22×C4—28no—
1239C22×C4—28no—
1240C22×C4—28no—
1241C22×C4—44no—
1242C22×C4—44no—
1243C22×C4—44no—
1244C22×C4—44no—
1245C22×C4—44no—
1246C22×C4—44no—
1247C22×C4—44no—
1248C22×C4—44no—
1249C22×C4—44no—
1250C22×C4—44no—
1251C22×C4—44no—
1252C22×C4—44no—
1253C22×C4—44no—
1254C22×C4—44no—
1255C22×C4—44no—
1256C22×C4—44no—
1257C22×C4—44no—
1258C22×C4—44no—
1259C22×C4—44no—
1260C22×C4—44no—
1261C22×C4—44no—
1262C22×C4—44no—
1263C22×C4—44no—
1264C22×C4—44no—
1265C22×C4—416no—
1266C22×C4—416no—
1267C22×C4—416no—
1268C22×C4—416no—
1269C22×C4—416no—
1270C22×C4—88no—
1271C22×C4—88no—
1272C22×C4—88no—
1273C22×C4—88no—
1274C22×C4—88no—
1275C22×C4—88no—
1276C22×C4—88no—
1277C22×C4—88no—
1278C22×C4—88no—
1279C22×C4C22×D414yes—
1280C22×C4C22×D414yes—
1281C22×C4C22×D414yes—
1282C22×C4H(5,𝔽2)14yes—
1283C22×C4C2512yes—
1284C22×C4C2512yes—
1285C22×C4C2512yes—
1286C22×C4C2512yes—
1287C22×C4C2512yes—
1288C22×C4C2512yes—
1289C22×C4C2512yes—
1290C22×C4C2512yes—
1291C22×C4C2512yes—
1292C22×C4C2512yes—
1293C22×C4C2512yes—
1294C22×C4C2512yes—
1295C22×C4C2512yes—
1296C22×C4C2512yes—
1297C22×C4C2512yes—
1298C22×C4C2512yes—
1299C22×C4C2512yes—
1300C22×C4C2512yes—
1301C22×C4C2512yes—
1302C22×C4C2512yes—
1303C22×C4C2512yes—
1304C22×C4C2512yes—
1305C22×C4C2512yes—
1306C22×C4C2512yes—
1307C4⋊C4—28no—
1308C4⋊C4—28no—
1309C4⋊C4—28no—
1310C4⋊C4—28no—
1311C4⋊C4—28no—
1312C4⋊C4—28no—
1313C4⋊C4—28no—
1314C4⋊C4—28no—
1315C4⋊C4—28no—
1316C4⋊C4—28no—
1317C4⋊C4—28no—
1318C4⋊C4—28no—
1319C4⋊C4—28no—
1320C4⋊C4—28no—
1321C4⋊C4—44no—
1322C4⋊C4—44no—
1323C4⋊C4—44no—
1324C4⋊C4—44no—
1325C4⋊C4—44no—
1326C4⋊C4—44no—
1327C4⋊C4—44no—
1328C4⋊C4—44no—
1329C4⋊C4—44no—
1330C4⋊C4—44no—
1331C4⋊C4—44no—
1332C4⋊C4—44no—
1333C4⋊C4—44no—
1334C22⋊C4—28no—
1335C22⋊C4—28no—
1336C22⋊C4—28no—
1337C22⋊C4—28no—
1338C22⋊C4—28no—
1339C22⋊C4—28no—
1340C22⋊C4—28no—
1341C22⋊C4—28no—
1342C22⋊C4—28no—
1343C22⋊C4—28no—
1344C22⋊C4—28no—
1345C22⋊C4—28no—
1346C22⋊C4—28no—
1347C22⋊C4—28no—
1348C22⋊C4—28no—
1349C22⋊C4—28no—
1350C22⋊C4—28no—
1351C22⋊C4—28no—
1352C22⋊C4—28no—
1353C22⋊C4—28no—
1354C22⋊C4—28no—
1355C22⋊C4—28no—
1356C22⋊C4—28no—
1357C22⋊C4—28no—
1358C22⋊C4—28no—
1359C22⋊C4—28no—
1360C22⋊C4—28no—
1361C22⋊C4—28no—
1362C22⋊C4—28no—
1363C22⋊C4—28no—
1364C22⋊C4—28no—
1365C22⋊C4—44no—
1366C22⋊C4—44no—
1367C22⋊C4—44no—
1368C22⋊C4—44no—
1369C22⋊C4—44no—
1370C22⋊C4—44no—
1371C22⋊C4—44no—
1372C22⋊C4—44no—
1373C22⋊C4—44no—
1374C22⋊C4—44no—
1375C22⋊C4—44no—
1376C22⋊C4—44no—
1377C22⋊C4—44no—
1378C22⋊C4—44no—
1379C22⋊C4—44no—
1380C22⋊C4—44no—
1381C22⋊C4—44no—
1382C22⋊C4—44no—
1383C22⋊C4—44no—
1384C22⋊C4—44no—
1385C22⋊C4—44no—
1386C22⋊C4—44no—
1387C22⋊C4—44no—
1388C22⋊C4—44no—
1389C22⋊C4C22×D4116yes—
1390C22⋊C4C22×D4116yes—
1391C22⋊C4C22×D4116yes—
1392C42—28no—
1393C42—28no—
1394C42—28no—
1395C42—44no—
1396C42—44no—
1397C42—44no—
1398C23—22no—
1399C23—22no—
1400C23—22no—
1401C23—22no—
1402C23—28no—
1403C23—28no—
1404C23—28no—
1405C23—28no—
1406C23—28no—
1407C23—28no—
1408C23—22no—
1409C23—22no—
1410C23—22no—
1411C23—22no—
1412C23—22no—
1413C23—22no—
1414C23—22no—
1415C23—22no—
1416C23—22no—
1417C23—22no—
1418C23—22no—
1419C23—22no—
1420C23—22no—
1421C23—22no—
1422C23—22no—
1423C23—22no—
1424C23—22no—
1425C23—22no—
1426C23—22no—
1427C23—22no—
1428C23—22no—
1429C23—22no—
1430C23—22no—
1431C23—22no—
1432C23—22no—
1433C23—22no—
1434C23—22no—
1435C23—22no—
1436C23—22no—
1437C23—22no—
1438C23—28no—
1439C23—28no—
1440C23—28no—
1441C23—28no—
1442C23—28no—
1443C23—28no—
1444C23—28no—
1445C23—28no—
1446C23—28no—
1447C23—28no—
1448C23—28no—
1449C23—28no—
1450C23—28no—
1451C23—28no—
1452C23—28no—
1453C23—232no—
1454C23—232no—
1455C23—22no—
1456C23—22no—
1457C23—22no—
1458C23—22no—
1459C23—22no—
1460C23—22no—
1461C23—22no—
1462C23—416no—
1463C23—416no—
1464C23—416no—
1465C23—416no—
1466C23—416no—
1467C23—416no—
1468C23—44no—
1469C23—44no—
1470C23—44no—
1471C23—44no—
1472C23—44no—
1473C23—44no—
1474C23—44no—
1475C23—44no—
1476C23—44no—
1477C23—44no—
1478C23—44no—
1479C23—44no—
1480C23—44no—
1481C23—44no—
1482C23—44no—
1483C23—44no—
1484C23—44no—
1485C23—44no—
1486C23—44no—
1487C23—44no—
1488C23—44no—
1489C23—44no—
1490C23—44no—
1491C23—44no—
1492C23—44no—
1493C23—44no—
1494C23—44no—
1495C23—88no—
1496C23—88no—
1497C23—864no—
1498C23—864no—
1499C23—88no—
1500C23—88no—
1501C23—88no—
1502C23—88no—
1503C23—88no—
1504C23—88no—
1505C23—88no—
1506C23—88no—
1507C23—88no—
1508C23—88no—
1509C23—88no—
1510C23—864no—
1511C23#546116yes—
1512C23C23×D414yes—
1513C23C23×D414yes—
1514C23C23×D414yes—
1515C23C23×D414yes—
1516C23C23×D412yes—
1517C23C22×#4114yes—
1518C23C22×#4114yes—
1519C23C22×#4114yes—
1520C23C22×#4112yes—
1521C23C2×H(5,𝔽2)14yes—
1522C23C2×H(5,𝔽2)12yes—
1523C23C2×H(5,𝔽2)12yes—
1524C23#58512yes—
1525C23#58512yes—
1526C23#58512yes—
1527C23C2611yescharacteristic
1528Q8—88no—
1529D4—232no—
1530D4—416no—
1531D4—416no—
1532D4—416no—
1533D4—416no—
1534D4—416no—
1535D4—416no—
1536D4—416no—
1537D4—416no—
1538D4—416no—
1539D4—88no—
1540D4—88no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—28no—
1550C2×C4—28no—
1551C2×C4—28no—
1552C2×C4—28no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—22no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—22no—
1603C2×C4—22no—
1604C2×C4—22no—
1605C2×C4—22no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—22no—
1609C2×C4—22no—
1610C2×C4—22no—
1611C2×C4—22no—
1612C2×C4—22no—
1613C2×C4—416no—
1614C2×C4—416no—
1615C2×C4—416no—
1616C2×C4—416no—
1617C2×C4—44no—
1618C2×C4—44no—
1619C2×C4—416no—
1620C2×C4—44no—
1621C2×C4—44no—
1622C2×C4—44no—
1623C2×C4—44no—
1624C2×C4—44no—
1625C2×C4—44no—
1626C2×C4—44no—
1627C2×C4—44no—
1628C2×C4—44no—
1629C2×C4—44no—
1630C2×C4—44no—
1631C2×C4—44no—
1632C2×C4—44no—
1633C2×C4—44no—
1634C2×C4—44no—
1635C2×C4—44no—
1636C2×C4—44no—
1637C2×C4—44no—
1638C2×C4—88no—
1639C2×C4—88no—
1640C2×C4—88no—
1641C2×C4—88no—
1642C2×C4—88no—
1643C2×C4—88no—
1644C2×C4—88no—
1645C2×C4—88no—
1646C2×C4—88no—
1647C2×C4C23×D414yes—
1648C2×C4C23×D414yes—
1649C2×C4C23×D414yes—
1650C2×C4C2×H(5,𝔽2)14yes—
1651C22—24no—
1652C22—232no—
1653C22—24no—
1654C22—24no—
1655C22—24no—
1656C22—24no—
1657C22—24no—
1658C22—24no—
1659C22—24no—
1660C22—24no—
1661C22—24no—
1662C22—24no—
1663C22—24no—
1664C22—24no—
1665C22—24no—
1666C22—24no—
1667C22—24no—
1668C22—24no—
1669C22—24no—
1670C22—24no—
1671C22—24no—
1672C22—24no—
1673C22—42no—
1674C22—42no—
1675C22—42no—
1676C22—42no—
1677C22—42no—
1678C22—416no—
1679C22—416no—
1680C22—416no—
1681C22—416no—
1682C22—416no—
1683C22—42no—
1684C22—42no—
1685C22—42no—
1686C22—42no—
1687C22—42no—
1688C22—42no—
1689C22—42no—
1690C22—42no—
1691C22—42no—
1692C22—42no—
1693C22—42no—
1694C22—42no—
1695C22—42no—
1696C22—42no—
1697C22—42no—
1698C22—42no—
1699C22—42no—
1700C22—42no—
1701C22—42no—
1702C22—42no—
1703C22—42no—
1704C22—42no—
1705C22—832no—
1706C22—832no—
1707C22—832no—
1708C22—88no—
1709C22C2×#54618yes—
1710C22C2×#54614yes—
1711C22#348514yes—
1712C22#349114yes—
1713C22#349614yes—
1714C22#350514yes—
1715C22#353414yes—
1716C22#354514yes—
1717C22C24×D411yescharacteristic
1718C22C23×#4111yescharacteristic
1719C22C22×H(5,𝔽2)11yescharacteristic
1720C22C22×H(5,𝔽2)11yescharacteristic
1721C22C2×#58511yescharacteristic
1722C22C2×#58511yescharacteristic
1723C22C2×#58511yescharacteristic
1724C4—24no—
1725C4—24no—
1726C4—24no—
1727C4—24no—
1728C4—42no—
1729C4—42no—
1730C4—42no—
1731C4—42no—
1732C4—42no—
1733C4—42no—
1734C4—42no—
1735C4—42no—
1736C4—42no—
1737C4—42no—
1738C4—42no—
1739C4—42no—
1740C4—42no—
1741C4—42no—
1742C4—42no—
1743C4—42no—
1744C4—42no—
1745C4—42no—
1746C4—42no—
1747C4—42no—
1748C2—28no—
1749C2—44no—
1750C2—44no—
1751C2—44no—
1752C2—44no—
1753C2—44no—
1754C2—82no—
1755C2#4301618yesdirect product factor
1756C2C22×#54611yescharacteristic
1757C2C2×#353411yescharacteristic
1758C2C2×#354511yescharacteristic
1759C2C2×#349611yescharacteristic
1760C2C2×#350511yescharacteristic
1761C2C2×#348511yescharacteristic
1762C2C2×#349111yescharacteristic
subgroupG/H
center, socleC24C25
commutator, Frattini, cosocleC23C26
prime radicalC22×#534C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C24 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C22×#551C2semidirect
3. C2×#2708C2semidirect
4. C2×#2708C2semidirect
5. C2×#2697C2semidirect
6. C2×#2695C2semidirect
7. C2×#2691C2semidirect
8. C2×#2687C2semidirect
9. C2×#2684C2semidirect
10. C2×#2681C2semidirect
11. #43016C2direct (N × H)
12. C2×#2559C2semidirect
13. C2×#2553C2semidirect
14. C2×#2534C2semidirect
15. C2×#2486C2semidirect
16. C2×#2488C2semidirect
17. C2×#2413C2semidirect
18. C2×#2470C2semidirect
19. C2×#2476C2semidirect
20. C2×#2427C2semidirect
21. C2×#2420C2semidirect
22. C2×#2419C2semidirect
23. C2×#2412C2semidirect
24. C2×#2412C2semidirect
25. C2×#2405C2semidirect
26. C2×#2418C2semidirect
27. C2×#2437C2semidirect
28. C22×#394C2semidirect
29. C2×#2358C2semidirect
30. C2×#2342C2semidirect
31. C2×D4×C22⋊C4C2semidirect
32. C2×#2308C2semidirect
36. C2×#551C22semidirect
39. C22×#126C22semidirect
40. C22×#126C22semidirect
41. C22×#124C22semidirect
48. C22×#123C22semidirect
49. C22×#123C22semidirect
50. C22×#123C22semidirect
51. C22×C22⋊Q8C22semidirect
52. C22×C22⋊Q8C22semidirect
53. C22×C22⋊Q8C22semidirect
64. C22×C4×D4C22semidirect
65. C22×C4×D4C22semidirect
66. C22×#117C22semidirect
67. C22×#117C22semidirect
68. C23×C4⋊C4C22semidirect
72. C23×C22⋊C4C22semidirect
73. C23×C22⋊C4C22semidirect
74. C23×C22⋊C4C22semidirect
75. C23×C22⋊C4C22semidirect
76. C23×C22⋊C4C22semidirect
77. #2708C22semidirect
78. #2708C22semidirect
79. #2697C22semidirect
80. #2695C22semidirect
81. #2691C22semidirect
82. #2687C22semidirect
83. #2684C22semidirect
84. #2681C22semidirect
85. #2559C22semidirect
86. #2553C22semidirect
87. #2534C22semidirect
88. #2488C22semidirect
89. #2486C22semidirect
90. #2476C22semidirect
91. #2470C22semidirect
92. #2437C22semidirect
93. #2427C22semidirect
94. #2420C22semidirect
95. #2419C22semidirect
96. #2418C22semidirect
97. #2413C22semidirect
98. #2412C22semidirect
99. #2412C22semidirect
100. #2405C22semidirect
101. C2×#400C22semidirect
102. C2×#400C22semidirect
103. C2×#400C22semidirect
104. C2×#399C22semidirect
105. C2×#398C22semidirect
106. C2×#398C22semidirect
107. C2×#398C22semidirect
108. C2×#398C22semidirect
109. C2×#398C22semidirect
110. C2×#397C22semidirect
111. C2×#397C22semidirect
112. C2×#397C22semidirect
113. C2×#397C22semidirect
114. C2×#397C22semidirect
115. C2×#397C22semidirect
116. C2×#397C22semidirect
117. C2×#397C22semidirect
118. C2×#397C22semidirect
119. C2×#396C22semidirect
120. C2×#396C22semidirect
121. C2×#396C22semidirect
122. C2×#396C22semidirect
127. C2×#394C22semidirect
128. C2×#394C22semidirect
129. C2×#394C22semidirect
130. C2×#394C22semidirect
131. C2×#394C22semidirect
132. C2×#394C22semidirect
133. C2×#394C22semidirect
134. C2×#394C22semidirect
135. C2×#394C22semidirect
136. C2×#394C22semidirect
137. C2×#394C22semidirect
138. C2×#394C22semidirect
139. C2×#394C22semidirect
140. C2×#393C22semidirect
141. C2×#393C22semidirect
142. #2358C22semidirect
143. #2342C22semidirect
144. D4×C22⋊C4C22semidirect
145. #2308C22semidirect
146. C2×#391C22semidirect
147. C2×#390C22semidirect
148. C2×#390C22semidirect
149. C2×#390C22semidirect
150. C2×#389C22semidirect
151. C2×#389C22semidirect
152. C2×#389C22semidirect
153. C2×#389C22semidirect
154. C2×#388C22semidirect
155. C2×#388C22semidirect
156. C2×#388C22semidirect
157. C2×#388C22semidirect
158. C2×#388C22semidirect
159. C2×#388C22semidirect
160. C2×#388C22semidirect
161. C2×#388C22semidirect
162. C2×#388C22semidirect
163. C2×#388C22semidirect
164. C2×#387C22semidirect
165. C2×#387C22semidirect
174. C2×#386C22semidirect
175. C2×#386C22semidirect
176. C2×#386C22semidirect
177. C2×#386C22semidirect
178. C2×#386C22semidirect
179. C2×#386C22semidirect
180. C2×#386C22semidirect
181. C2×#386C22semidirect
182. C2×#386C22semidirect
183. C2×#386C22semidirect
184. C2×#386C22semidirect
185. C2×#385C22semidirect
186. C2×#385C22semidirect
187. C2×#385C22semidirect
188. C2×#385C22semidirect
189. C2×#385C22semidirect
190. C2×#385C22semidirect
191. C2×#385C22semidirect
192. C2×#385C22semidirect
193. C2×#385C22semidirect
194. C2×#385C22semidirect
195. C2×#385C22semidirect
196. C2×#382C22semidirect
197. C2×#381C22semidirect
198. C2×#381C22semidirect
199. C2×#381C22semidirect
200. C2×#381C22semidirect
201. C2×#381C22semidirect
202. C2×#380C22semidirect
203. C2×#380C22semidirect
204. C2×#380C22semidirect
205. C2×#380C22semidirect
206. C2×#380C22semidirect
207. C2×#380C22semidirect
208. C2×#380C22semidirect
209. C2×#380C22semidirect
212. C2×#379C22semidirect
213. C2×#379C22semidirect
214. C2×#379C22semidirect
215. C2×C4×C22⋊C4C22semidirect
216. C2×C4×C22⋊C4C22semidirect
217. C2×C4×C22⋊C4C22semidirect
218. C2×C4×C22⋊C4C22semidirect
219. C2×C4×C22⋊C4C22semidirect
220. C22×#95C22semidirect
263. C2×#126C23semidirect
264. C2×#126C23semidirect
266. C2×#124C23semidirect
282. C2×#123C23semidirect
283. C2×#123C23semidirect
284. C2×#123C23semidirect
288. C2×C22⋊Q8C23semidirect
289. C2×C22⋊Q8C23semidirect
290. C2×C22⋊Q8C23semidirect
313. C2×C4×D4C23semidirect
314. C2×C4×D4C23semidirect
317. C2×#117C23semidirect
318. C2×#117C23semidirect
347. C22×C4⋊C4C23semidirect
417. C22×C22⋊C4C23semidirect
418. C22×C22⋊C4C23semidirect
419. C22×C22⋊C4C23semidirect
420. C22×C22⋊C4C23semidirect
421. C22×C22⋊C4C23semidirect
428. #400C23semidirect
429. #400C23semidirect
430. #400C23semidirect
431. #399C23semidirect
432. #398C23semidirect
433. #398C23semidirect
434. #398C23semidirect
435. #398C23semidirect
436. #398C23semidirect
437. #397C23semidirect
438. #397C23semidirect
439. #397C23semidirect
440. #397C23semidirect
441. #397C23semidirect
442. #397C23semidirect
443. #397C23semidirect
444. #397C23semidirect
445. #397C23semidirect
446. #396C23semidirect
447. #396C23semidirect
448. #396C23semidirect
449. #396C23semidirect
454. #394C23semidirect
455. #394C23semidirect
456. #394C23semidirect
457. #394C23semidirect
458. #394C23semidirect
459. #394C23semidirect
460. #394C23semidirect
461. #394C23semidirect
462. #394C23semidirect
463. #394C23semidirect
464. #394C23semidirect
465. #394C23semidirect
466. #393C23semidirect
467. #393C23semidirect
468. #391C23semidirect
469. #390C23semidirect
470. #390C23semidirect
471. #390C23semidirect
472. #389C23semidirect
473. #389C23semidirect
474. #389C23semidirect
475. #389C23semidirect
476. #388C23semidirect
477. #388C23semidirect
478. #388C23semidirect
479. #388C23semidirect
480. #388C23semidirect
481. #388C23semidirect
482. #388C23semidirect
483. #388C23semidirect
484. #388C23semidirect
485. #388C23semidirect
486. #387C23semidirect
487. #387C23semidirect
496. #386C23semidirect
497. #386C23semidirect
498. #386C23semidirect
499. #386C23semidirect
500. #386C23semidirect
501. #386C23semidirect
502. #386C23semidirect
503. #386C23semidirect
504. #386C23semidirect
505. #386C23semidirect
506. #386C23semidirect
507. #385C23semidirect
508. #385C23semidirect
509. #385C23semidirect
510. #385C23semidirect
511. #385C23semidirect
512. #385C23semidirect
513. #385C23semidirect
514. #385C23semidirect
515. #385C23semidirect
516. #385C23semidirect
517. #385C23semidirect
518. #382C23semidirect
519. #381C23semidirect
520. #381C23semidirect
521. #381C23semidirect
522. #381C23semidirect
523. #381C23semidirect
524. #380C23semidirect
525. #380C23semidirect
526. #380C23semidirect
527. #380C23semidirect
528. #380C23semidirect
529. #380C23semidirect
530. #380C23semidirect
531. #380C23semidirect
534. #379C23semidirect
535. #379C23semidirect
536. #379C23semidirect
537. C4×C22⋊C4C23semidirect
538. C4×C22⋊C4C23semidirect
539. C4×C22⋊C4C23semidirect
540. C4×C22⋊C4C23semidirect
541. C4×C22⋊C4C23semidirect
576. C2×#95C23semidirect
1755. C2#43016direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#5512
C22×#5342
C2×#27082
C2×#26972
C2×#26952
C2×#26912
C2×#26872
C2×#26842
C2×#26812
#430162
C2×#25592
C2×#25532
C2×#25342
C2×#24862
C2×#24882
C2×#24132
C2×#24702
C2×#24762
C2×#24272
C2×#24202
C2×#24192
C2×#24122
C2×#24052
C2×#24182
C2×#24372
C22×#3942
C2×#23582
C2×#23422
C2×D4×C22⋊C42
C2×#23082