Finite Group Databasebeta

← C2×#49573 #7705303

Subgroups — C2×#49573 #7705303

Order 512.

8752 conjugacy classes of subgroups.

The subgroup lattice has 1802 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#560C211yesmaximal, characteristic, complemented
2C22×#540C211yesmaximal, characteristic, complemented
3C2×#2725C211yesmaximal, characteristic, complemented
4C2×#2708C211yesmaximal, characteristic, complemented
5C2×#2703C211yesmaximal, characteristic, complemented
6C2×#2699C211yesmaximal, characteristic, complemented
7C2×#2695C211yesmaximal, characteristic, complemented
8C2×#2688C211yesmaximal, characteristic, complemented
9C2×#2682C211yesmaximal, characteristic, complemented
10C2×#2678C211yesmaximal, characteristic, complemented
11C2×#2678C211yesmaximal, characteristic, complemented
12C2×#2675C211yesmaximal, characteristic, complemented
13C2×#2673C211yesmaximal, characteristic, complemented
14C2×#2669C211yesmaximal, characteristic, complemented
15#49573C2132yesmaximal, direct product factor
16C2×#2602C211yesmaximal, characteristic, complemented
17C2×#2558C211yesmaximal, characteristic, complemented
18C2×#2554C211yesmaximal, characteristic, complemented
19C2×#2534C211yesmaximal, characteristic, complemented
20C2×#2413C211yesmaximal, characteristic, complemented
21C2×#2476C211yesmaximal, characteristic, complemented
22C2×#2428C211yesmaximal, characteristic, complemented
23C2×#2428C211yesmaximal, characteristic, complemented
24C2×#2416C211yesmaximal, characteristic, complemented
25C2×#2416C211yesmaximal, characteristic, complemented
26C2×#2416C211yesmaximal, characteristic, complemented
27C2×#2466C211yesmaximal, characteristic, complemented
28C2×#2424C211yesmaximal, characteristic, complemented
29C2×#2424C211yesmaximal, characteristic, complemented
30C2×#2661C211yesmaximal, characteristic, complemented
31C2×#2618C211yesmaximal, characteristic, complemented
32C2×#2361C211yesmaximal, characteristic, complemented
33C2×#560—216no—
34C2×#560C22116yescomplemented
35C2×#540—216no—
36C2×#540C22116yescomplemented
37C22×#127C2211yescharacteristic
38C22×#127C2211yescharacteristic
39C22×#126C2211yescharacteristic
40C22×#126C2211yescharacteristic
41C22×#125C2211yescharacteristic, complemented
42C22×#123C2211yescharacteristic
43C22×#123C2211yescharacteristic
44C22×#123C2211yescharacteristic
45C22×#123C2211yescharacteristic
46C22×#123C2211yescharacteristic
47C22×#123C2211yescharacteristic
48C22×#123C2211yescharacteristic, complemented
49C22×#123C2211yescharacteristic, complemented
50C22×#121C2211yescharacteristic
51C22×#121C2211yescharacteristic
52C22×#121C2211yescharacteristic
53C22×#121C2211yescharacteristic
54C22×#121C2211yescharacteristic
55C22×#121C2211yescharacteristic
56C22×#121C2211yescharacteristic
57C22×#121C2211yescharacteristic
58C22×#121C2211yescharacteristic
59C22×#121C2211yescharacteristic
60C22×#121C2211yescharacteristic
61C22×#121C2211yescharacteristic
62C22×#121C2211yescharacteristic
63C22×#121C2211yescharacteristic
64C22×#121C2211yescharacteristic, complemented
65C22×#121C2211yescharacteristic, complemented
66C22×#121C2211yescharacteristic, complemented
67C22×#121C2211yescharacteristic, complemented
68C22×#121C2211yescharacteristic, complemented
69C22×#121C2211yescharacteristic, complemented
70C22×#120C2211yescharacteristic
71C22×#120C2211yescharacteristic
72C22×#120C2211yescharacteristic
73C22×#120C2211yescharacteristic
74C22×#120C2211yescharacteristic
75C22×C4×D4C2211yescharacteristic
76C22×C4×D4C2211yescharacteristic
77C22×C4×D4C2211yescharacteristic
78C22×C4×D4C2211yescharacteristic, complemented
79C22×C4×D4C2211yescharacteristic, complemented
80C22×#117C2211yescharacteristic, complemented
81C23×C4⋊C4C2211yescharacteristic, complemented
82C23×C4⋊C4C2211yescharacteristic, complemented
83C23×C22⋊C4C2211yescharacteristic
84#2725C22116yescomplemented
85#2708C22116yescomplemented
86#2703C22116yescomplemented
87#2699C22116yescomplemented
88#2695C22116yescomplemented
89#2688C22116yescomplemented
90#2682C22116yescomplemented
91#2678C22116yescomplemented
92#2678C22116yescomplemented
93#2675C22116yescomplemented
94#2673C22116yescomplemented
95#2669C22116yescomplemented
96#2661C22116yescomplemented
97#2618C22116yescomplemented
98#2602C22116yescomplemented
99#2558C22116yescomplemented
100#2554C22116yescomplemented
101#2534C22116yescomplemented
102#2476C22116yescomplemented
103#2466C22116yescomplemented
104#2428C22116yescomplemented
105#2428C22116yescomplemented
106#2424C22116yescomplemented
107#2424C22116yescomplemented
108#2416C22116yescomplemented
109#2416C22116yescomplemented
110#2416C22116yescomplemented
111#2413C22116yescomplemented
112C2×#400C2211yescharacteristic, complemented
113C2×#400C2211yescharacteristic, complemented
114C2×#398C2211yescharacteristic, complemented
115C2×#398C2211yescharacteristic, complemented
116C2×#398C2211yescharacteristic, complemented
117C2×#398C2211yescharacteristic, complemented
118C2×#397C2211yescharacteristic
119C2×#397C2211yescharacteristic
120C2×#397C2211yescharacteristic, complemented
121C2×#397C2211yescharacteristic, complemented
122C2×#396C2211yescharacteristic
123C2×#396C2211yescharacteristic
124C2×#396C2211yescharacteristic
125C2×#396C2211yescharacteristic
126C2×#396C2211yescharacteristic
127C2×#396C2211yescharacteristic
128C2×#396C2211yescharacteristic, complemented
129C2×#396C2211yescharacteristic, complemented
130C2×#396C2211yescharacteristic, complemented
131C2×#396C2211yescharacteristic, complemented
132C2×#394C2211yescharacteristic
133C2×#394C2211yescharacteristic
134C2×#394C2211yescharacteristic
135C2×#394C2211yescharacteristic
136C2×#394C2211yescharacteristic
137C2×#394C2211yescharacteristic
138C2×#394C2211yescharacteristic
139C2×#394C2211yescharacteristic
140C2×#394C2211yescharacteristic
141C2×#394C2211yescharacteristic
142C2×#394C2211yescharacteristic
143C2×#394C2211yescharacteristic
144C2×#394C2211yescharacteristic, complemented
145C2×#394C2211yescharacteristic, complemented
146C2×#394C2211yescharacteristic, complemented
147C2×#394C2211yescharacteristic, complemented
148C2×#392C2211yescharacteristic
149C2×#392C2211yescharacteristic
150C2×#392C2211yescharacteristic
151C2×#392C2211yescharacteristic
152C2×#392C2211yescharacteristic
153C2×#392C2211yescharacteristic
154C2×#392C2211yescharacteristic
155C2×#392C2211yescharacteristic
156C2×#392C2211yescharacteristic
157C2×#392C2211yescharacteristic
158C2×#392C2211yescharacteristic, complemented
159C2×#392C2211yescharacteristic, complemented
160#2361C22116yescomplemented
161C2×#390C2211yescharacteristic
162C2×#390C2211yescharacteristic
163C2×#390C2211yescharacteristic
164C2×#390C2211yescharacteristic
165C2×#390C2211yescharacteristic
166C2×#390C2211yescharacteristic
167C2×#390C2211yescharacteristic, complemented
168C2×#390C2211yescharacteristic, complemented
169C2×#389C2211yescharacteristic, complemented
170C2×#389C2211yescharacteristic, complemented
171C2×#389C2211yescharacteristic, complemented
172C2×#389C2211yescharacteristic, complemented
173C2×#389C2211yescharacteristic, complemented
174C2×#389C2211yescharacteristic, complemented
175C2×#388C2211yescharacteristic
176C2×#388C2211yescharacteristic
177C2×#388C2211yescharacteristic
178C2×#388C2211yescharacteristic
179C2×#388C2211yescharacteristic
180C2×#388C2211yescharacteristic
181C2×#388C2211yescharacteristic
182C2×#388C2211yescharacteristic
183C2×#388C2211yescharacteristic, complemented
184C2×#388C2211yescharacteristic, complemented
185C2×#388C2211yescharacteristic, complemented
186C2×#388C2211yescharacteristic, complemented
187C2×#387C2211yescharacteristic, complemented
188C2×#387C2211yescharacteristic, complemented
189C2×#386C2211yescharacteristic
190C2×#386C2211yescharacteristic
191C2×#386C2211yescharacteristic
192C2×#386C2211yescharacteristic
193C2×#386C2211yescharacteristic
194C2×#386C2211yescharacteristic
195C2×#386C2211yescharacteristic
196C2×#386C2211yescharacteristic
197C2×#386C2211yescharacteristic
198C2×#386C2211yescharacteristic, complemented
199C2×#386C2211yescharacteristic, complemented
200C2×#386C2211yescharacteristic, complemented
201C2×#386C2211yescharacteristic, complemented
202C2×#386C2211yescharacteristic, complemented
203C2×#386C2211yescharacteristic, complemented
204C2×#385C2211yescharacteristic
205C2×#385C2211yescharacteristic
206C2×#385C2211yescharacteristic, complemented
207C2×#385C2211yescharacteristic, complemented
208C2×#385C2211yescharacteristic, complemented
209C2×#385C2211yescharacteristic, complemented
210C2×#385C2211yescharacteristic, complemented
211C2×#381C2211yescharacteristic
212C2×#381C2211yescharacteristic, complemented
213C2×#380C2211yescharacteristic
214C2×#380C2211yescharacteristic, complemented
215C2×#380C2211yescharacteristic, complemented
216C2×#379C2211yescharacteristic
217C2×C4×C4⋊C4C2211yescharacteristic, complemented
218C2×C4×C22⋊C4C2211yescharacteristic, complemented
219C2×C4×C22⋊C4C2211yescharacteristic, complemented
220C2×C4×C22⋊C4C2211yescharacteristic, complemented
221C26C2311yescharacteristic
222C23×D4C2311yescharacteristic
223C23×D4C2311yescharacteristic
224C23×D4C2311yescharacteristic
225C23×D4C2311yescharacteristic
226C23×D4C2311yescharacteristic
227C23×D4C2311yescharacteristic
228C23×D4C2311yescharacteristic
229C23×D4C2311yescharacteristic
230C23×D4C2311yescharacteristic
231C23×D4C2311yescharacteristic
232C23×D4C2311yescharacteristic
233C23×D4C2311yescharacteristic
234C23×D4C2311yescharacteristic
235C23×D4C2311yescharacteristic
236C23×D4C2311yescharacteristic
237C23×D4C2311yescharacteristic
238C23×D4C2311yescharacteristic
239C23×D4C2311yescharacteristic
240C23×D4C2311yescharacteristic
241C23×D4C2311yescharacteristic
242C23×D4C2311yescharacteristic
243C23×D4C2311yescharacteristic
244C23×D4C2311yescharacteristic
245C23×D4C2311yescharacteristic
246C23×D4C2311yescharacteristic
247C24×C4C2311yescharacteristic
248C24×C4C2311yescharacteristic
249C24×C4C2311yescharacteristic
250C24×C4C2311yescharacteristic
251C24×C4C2311yescharacteristic
252C24×C4C2311yescharacteristic
253C24×C4C2311yescharacteristic
254C24×C4C2311yescharacteristic
255C24×C4C2311yescharacteristic
256C24×C4C2311yescharacteristic
257C24×C4C2311yescharacteristic
258#560—2128no—
259#540—2128no—
260C2×#127—28no—
261C2×#127—28no—
262C2×#127C2318yes—
263C2×#127C2318yes—
264C2×#126—28no—
265C2×#126—28no—
266C2×#126C2318yes—
267C2×#126C2318yes—
268C2×#125—28no—
269C2×#125C2318yescomplemented
270C2×#123—28no—
271C2×#123—28no—
272C2×#123—28no—
273C2×#123—28no—
274C2×#123—28no—
275C2×#123—28no—
276C2×#123—28no—
277C2×#123—44no—
278C2×#123C2318yes—
279C2×#123C2318yes—
280C2×#123C2318yes—
281C2×#123C2318yes—
282C2×#123C2318yes—
283C2×#123C2318yes—
284C2×#123C2318yescomplemented
285C2×#123C2318yescomplemented
286C2×#121—28no—
287C2×#121—28no—
288C2×#121—28no—
289C2×#121—28no—
290C2×#121—28no—
291C2×#121—28no—
292C2×#121—28no—
293C2×#121—28no—
294C2×#121—28no—
295C2×#121—28no—
296C2×#121—44no—
297C2×#121—44no—
298C2×#121—44no—
299C2×#121—44no—
300C2×#121—44no—
301C2×#121—44no—
302C2×#121—44no—
303C2×#121—44no—
304C2×#121—44no—
305C2×#121D4116yescomplemented
306C2×#121C2318yes—
307C2×#121C2318yes—
308C2×#121C2318yes—
309C2×#121C2318yes—
310C2×#121C2318yes—
311C2×#121C2318yes—
312C2×#121C2318yes—
313C2×#121C2318yes—
314C2×#121C2318yes—
315C2×#121C2318yes—
316C2×#121C2318yes—
317C2×#121C2318yes—
318C2×#121C2318yes—
319C2×#121C2318yes—
320C2×#121C2318yescomplemented
321C2×#121C2318yescomplemented
322C2×#121C2318yescomplemented
323C2×#121C2318yescomplemented
324C2×#121C2318yescomplemented
325C2×#121C2318yescomplemented
326C2×#120—28no—
327C2×#120—28no—
328C2×#120—28no—
329C2×#120—44no—
330C2×#120—44no—
331C2×#120C2318yes—
332C2×#120C2318yes—
333C2×#120C2318yes—
334C2×#120C2318yes—
335C2×#120C2318yes—
336C2×C4×D4—28no—
337C2×C4×D4—28no—
338C2×C4×D4—44no—
339C2×C4×D4—44no—
340C2×C4×D4—44no—
341C2×C4×D4C2318yes—
342C2×C4×D4C2318yes—
343C2×C4×D4C2318yes—
344C2×C4×D4C2318yescomplemented
345C2×C4×D4C2318yescomplemented
346C2×#117—28no—
347C2×#117C2318yescomplemented
348C22×C4⋊C4—44no—
349C22×C4⋊C4—44no—
350C22×C4⋊C4C2311yescharacteristic
351C22×C4⋊C4C2311yescharacteristic
352C22×C4⋊C4C2311yescharacteristic
353C22×C4⋊C4C2311yescharacteristic
354C22×C4⋊C4C2311yescharacteristic
355C22×C4⋊C4C2311yescharacteristic
356C22×C4⋊C4C2311yescharacteristic
357C22×C4⋊C4C2311yescharacteristic
358C22×C4⋊C4C2311yescharacteristic
359C22×C4⋊C4C2311yescharacteristic
360C22×C4⋊C4C2311yescharacteristic
361C22×C4⋊C4C2311yescharacteristic
362C22×C4⋊C4C2311yescharacteristic
363C22×C4⋊C4C2311yescharacteristic
364C22×C4⋊C4C2311yescharacteristic
365C22×C4⋊C4C2311yescharacteristic
366C22×C4⋊C4C2311yescharacteristic
367C22×C4⋊C4C2311yescharacteristic
368C22×C4⋊C4C2311yescharacteristic
369C22×C4⋊C4C2311yescharacteristic
370C22×C4⋊C4C2311yescharacteristic
371C22×C4⋊C4C2311yescharacteristic
372C22×C4⋊C4C2311yescharacteristic
373C22×C4⋊C4C2311yescharacteristic
374C22×C4⋊C4C2311yescharacteristic
375C22×C4⋊C4C2311yescharacteristic
376C22×C4⋊C4C2311yescharacteristic
377C22×C4⋊C4C2311yescharacteristic
378C22×C4⋊C4C2311yescharacteristic
379C22×C4⋊C4C2318yescomplemented
380C22×C4⋊C4C2318yescomplemented
381C22×C22⋊C4—44no—
382C22×C22⋊C4C2311yescharacteristic
383C22×C22⋊C4C2311yescharacteristic
384C22×C22⋊C4C2311yescharacteristic
385C22×C22⋊C4C2311yescharacteristic
386C22×C22⋊C4C2311yescharacteristic
387C22×C22⋊C4C2311yescharacteristic
388C22×C22⋊C4C2311yescharacteristic
389C22×C22⋊C4C2311yescharacteristic
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⋊C4C2311yescharacteristic
418C22×C22⋊C4C2311yescharacteristic
419C22×C22⋊C4C2311yescharacteristic
420C22×C22⋊C4C2311yescharacteristic
421C22×C22⋊C4C2311yescharacteristic
422C22×C22⋊C4C2311yescharacteristic
423C22×C22⋊C4C2311yescharacteristic
424C22×C22⋊C4C2311yescharacteristic
425C22×C22⋊C4C2311yescharacteristic
426C22×C22⋊C4C2311yescharacteristic
427C22×C22⋊C4C2311yescharacteristic
428C22×C22⋊C4C2311yescharacteristic
429C22×C22⋊C4C2311yescharacteristic
430C22×C22⋊C4C2311yescharacteristic
431C22×C22⋊C4C2311yescharacteristic
432C22×C22⋊C4C2311yescharacteristic
433C22×C22⋊C4C2311yescharacteristic
434C22×C22⋊C4C2311yescharacteristic
435C22×C22⋊C4C2311yescharacteristic
436C22×C22⋊C4C2318yes—
437C22×C22⋊C4C2311yescharacteristic
438C22×C22⋊C4C2311yescharacteristic
439C22×C42C2311yescharacteristic
440C22×C42C2311yescharacteristic
441C22×C42C2311yescharacteristic
442C22×C42C2311yescharacteristic
443C22×C42C2311yescharacteristic
444C22×C42C2311yescharacteristic
445C22×C42C2311yescharacteristic
446#400C2318yescomplemented
447#400C2318yescomplemented
448#398C2318yescomplemented
449#398C2318yescomplemented
450#398C2318yescomplemented
451#398C2318yescomplemented
452#397C2318yes—
453#397C2318yes—
454#397C2318yescomplemented
455#397C2318yescomplemented
456#396C2318yes—
457#396C2318yes—
458#396C2318yes—
459#396C2318yes—
460#396C2318yes—
461#396C2318yes—
462#396C2318yescomplemented
463#396C2318yescomplemented
464#396C2318yescomplemented
465#396C2318yescomplemented
466#394C2318yes—
467#394C2318yes—
468#394C2318yes—
469#394C2318yes—
470#394C2318yes—
471#394C2318yes—
472#394C2318yes—
473#394C2318yes—
474#394C2318yes—
475#394C2318yes—
476#394C2318yes—
477#394C2318yes—
478#394C2318yescomplemented
479#394C2318yescomplemented
480#394C2318yescomplemented
481#394C2318yescomplemented
482#392C2318yes—
483#392C2318yes—
484#392C2318yes—
485#392C2318yes—
486#392C2318yes—
487#392C2318yes—
488#392C2318yes—
489#392C2318yes—
490#392C2318yes—
491#392C2318yes—
492#392C2318yescomplemented
493#392C2318yescomplemented
494#390C2318yes—
495#390C2318yes—
496#390C2318yes—
497#390C2318yes—
498#390C2318yes—
499#390C2318yes—
500#390C2318yescomplemented
501#390C2318yescomplemented
502#389C2318yescomplemented
503#389C2318yescomplemented
504#389C2318yescomplemented
505#389C2318yescomplemented
506#389C2318yescomplemented
507#389C2318yescomplemented
508#388C2318yes—
509#388C2318yes—
510#388C2318yes—
511#388C2318yes—
512#388C2318yes—
513#388C2318yes—
514#388C2318yes—
515#388C2318yes—
516#388C2318yescomplemented
517#388C2318yescomplemented
518#388C2318yescomplemented
519#388C2318yescomplemented
520#387C2318yescomplemented
521#387C2318yescomplemented
522#386C2318yes—
523#386C2318yes—
524#386C2318yes—
525#386C2318yes—
526#386C2318yes—
527#386C2318yes—
528#386C2318yes—
529#386C2318yes—
530#386C2318yes—
531#386C2318yescomplemented
532#386C2318yescomplemented
533#386C2318yescomplemented
534#386C2318yescomplemented
535#386C2318yescomplemented
536#386C2318yescomplemented
537#385C2318yes—
538#385C2318yes—
539#385C2318yescomplemented
540#385C2318yescomplemented
541#385C2318yescomplemented
542#385C2318yescomplemented
543#385C2318yescomplemented
544#381C2318yes—
545#381C2318yescomplemented
546#380C2318yes—
547#380C2318yescomplemented
548#380C2318yescomplemented
549#379C2318yes—
550C4×C4⋊C4C2318yescomplemented
551C4×C22⋊C4C2318yescomplemented
552C4×C22⋊C4C2318yescomplemented
553C4×C22⋊C4C2318yescomplemented
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×#95C2311yescharacteristic
577C2×#95C2311yescharacteristic
578C2×#95C2311yescharacteristic
579C2×#95C2311yescharacteristic
580C25—24no—
581C25—42no—
582C25—42no—
583C25—42no—
584C25—42no—
585C25—42no—
586C25—42no—
587C25C2411yescharacteristic
588C25C2411yescharacteristic
589C25C2411yescharacteristic
590C25C2411yescharacteristic
591C25C2411yescharacteristic
592C25C2411yescharacteristic
593C25C2411yescharacteristic
594C25C2411yescharacteristic
595C25C2414yes—
596C22×D4—24no—
597C22×D4—24no—
598C22×D4—24no—
599C22×D4—24no—
600C22×D4—24no—
601C22×D4—24no—
602C22×D4—24no—
603C22×D4—24no—
604C22×D4—24no—
605C22×D4—24no—
606C22×D4—24no—
607C22×D4—24no—
608C22×D4—24no—
609C22×D4—24no—
610C22×D4—24no—
611C22×D4—24no—
612C22×D4—24no—
613C22×D4—24no—
614C22×D4—24no—
615C22×D4—24no—
616C22×D4—42no—
617C22×D4—42no—
618C22×D4—42no—
619C22×D4—42no—
620C22×D4—42no—
621C22×D4—42no—
622C22×D4—42no—
623C22×D4—42no—
624C22×D4—42no—
625C22×D4—42no—
626C22×D4—42no—
627C22×D4—42no—
628C22×D4—42no—
629C22×D4—42no—
630C22×D4—42no—
631C22×D4—42no—
632C22×D4—42no—
633C22×D4—42no—
634C22×D4—42no—
635C22×D4—42no—
636C22×D4—42no—
637C22×D4—42no—
638C22×D4—42no—
639C22×D4—42no—
640C22×D4—42no—
641C22×D4—42no—
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—42no—
651C22×D4—42no—
652C22×D4—42no—
653C22×D4—42no—
654C22×D4—42no—
655C22×D4—42no—
656C22×D4—42no—
657C22×D4—42no—
658C22×D4—42no—
659C22×D4—42no—
660C22×D4—42no—
661C22×D4—42no—
662C22×D4—42no—
663C22×D4—42no—
664C22×D4—42no—
665C22×D4—42no—
666C22×D4—42no—
667C22×D4—42no—
668C22×D4C2×D418yes—
669C22×D4C2×D418yes—
670C22×D4C2×D418yes—
671C22×D4C2414yes—
672C22×D4C2414yes—
673C22×D4C2414yes—
674C22×D4C2414yes—
675C22×D4C2414yes—
676C22×D4C2414yes—
677C22×D4C2414yes—
678C22×D4C2414yes—
679C22×D4C2414yes—
680C22×D4C2414yes—
681C22×D4C2414yes—
682C22×D4C2414yes—
683C22×D4C2414yes—
684C22×D4C2414yes—
685C22×D4C2414yes—
686C22×D4C2414yes—
687C22×D4C2414yes—
688C22×D4C2414yes—
689C22×D4C2414yes—
690C22×D4C2414yes—
691C22×D4C2414yes—
692C22×D4C2414yes—
693C22×D4C2414yes—
694C22×D4C2414yes—
695C22×D4C2414yes—
696C23×C4—24no—
697C23×C4—24no—
698C23×C4—24no—
699C23×C4—24no—
700C23×C4—24no—
701C23×C4—24no—
702C23×C4—24no—
703C23×C4—24no—
704C23×C4—24no—
705C23×C4—24no—
706C23×C4—24no—
707C23×C4—42no—
708C23×C4—42no—
709C23×C4—42no—
710C23×C4—42no—
711C23×C4—42no—
712C23×C4—42no—
713C23×C4—42no—
714C23×C4—42no—
715C23×C4—42no—
716C23×C4—42no—
717C23×C4—42no—
718C23×C4—42no—
719C23×C4—42no—
720C23×C4—42no—
721C23×C4—42no—
722C23×C4—42no—
723C23×C4—42no—
724C23×C4—42no—
725C23×C4—42no—
726C23×C4—42no—
727C23×C4—42no—
728C23×C4C2×D418yes—
729C23×C4C2411yescharacteristic
730C23×C4C2411yescharacteristic
731C23×C4C2411yescharacteristic
732C23×C4C2411yescharacteristic
733C23×C4C2411yescharacteristic
734C23×C4C2411yescharacteristic
735C23×C4C2411yescharacteristic
736C23×C4C2411yescharacteristic
737C23×C4C2411yescharacteristic
738C23×C4C2411yescharacteristic
739C23×C4C2411yescharacteristic
740C23×C4C2411yescharacteristic
741C23×C4C2411yescharacteristic
742C23×C4C2411yescharacteristic
743C23×C4C2411yescharacteristic
744C23×C4C2411yescharacteristic
745C23×C4C2414yes—
746C23×C4C2414yes—
747C23×C4C2411yescharacteristic
748C23×C4C2411yescharacteristic
749C23×C4C2411yescharacteristic
750C23×C4C2411yescharacteristic
751C23×C4C2411yescharacteristic
752C23×C4C2411yescharacteristic
753C23×C4C2411yescharacteristic
754C23×C4C2414yes—
755C23×C4C2414yes—
756C23×C4C2414yes—
757C23×C4C2414yes—
758C23×C4C2414yes—
759C23×C4C2414yes—
760C23×C4C2414yes—
761C23×C4C2414yes—
762C23×C4C2414yes—
763#127—232no—
764#127—232no—
765#126—232no—
766#126—232no—
767#125—232no—
768#123—232no—
769#123—232no—
770#123—232no—
771#123—232no—
772#123—232no—
773#123—232no—
774#123—232no—
775#123—416no—
776#121—232no—
777#121—232no—
778#121—232no—
779#121—232no—
780#121—232no—
781#121—232no—
782#121—232no—
783#121—232no—
784#121—232no—
785#121—232no—
786#121—416no—
787#121—416no—
788#121—416no—
789#121—416no—
790#121—416no—
791#121—416no—
792#121—416no—
793#121—416no—
794#121—416no—
795#121C2×D4164yescomplemented
796#120—232no—
797#120—232no—
798#120—232no—
799#120—416no—
800#120—416no—
801C4×D4—232no—
802C4×D4—232no—
803C4×D4—416no—
804C4×D4—416no—
805C4×D4—416no—
806#117—232no—
807C2×C4⋊C4—24no—
808C2×C4⋊C4—24no—
809C2×C4⋊C4—24no—
810C2×C4⋊C4—24no—
811C2×C4⋊C4—24no—
812C2×C4⋊C4—24no—
813C2×C4⋊C4—24no—
814C2×C4⋊C4—24no—
815C2×C4⋊C4—24no—
816C2×C4⋊C4—24no—
817C2×C4⋊C4—24no—
818C2×C4⋊C4—24no—
819C2×C4⋊C4—24no—
820C2×C4⋊C4—24no—
821C2×C4⋊C4—24no—
822C2×C4⋊C4—24no—
823C2×C4⋊C4—24no—
824C2×C4⋊C4—24no—
825C2×C4⋊C4—24no—
826C2×C4⋊C4—416no—
827C2×C4⋊C4—416no—
828C2×C4⋊C4—42no—
829C2×C4⋊C4—42no—
830C2×C4⋊C4—42no—
831C2×C4⋊C4—42no—
832C2×C4⋊C4—42no—
833C2×C4⋊C4—42no—
834C2×C4⋊C4—42no—
835C2×C4⋊C4—42no—
836C2×C4⋊C4—42no—
837C2×C4⋊C4C2×D418yes—
838C2×C4⋊C4C2414yes—
839C2×C4⋊C4C2414yes—
840C2×C4⋊C4C2414yes—
841C2×C4⋊C4C2414yes—
842C2×C4⋊C4C2414yes—
843C2×C4⋊C4C2414yes—
844C2×C4⋊C4C2414yes—
845C2×C4⋊C4C2414yes—
846C2×C4⋊C4C2414yes—
847C2×C4⋊C4C2414yes—
848C2×C4⋊C4C2414yes—
849C2×C4⋊C4C2414yes—
850C2×C4⋊C4C2414yes—
851C2×C4⋊C4C2414yes—
852C2×C4⋊C4C2414yes—
853C2×C4⋊C4C2414yes—
854C2×C4⋊C4C2414yes—
855C2×C4⋊C4C2414yes—
856C2×C4⋊C4C2414yes—
857C2×C4⋊C4C2414yes—
858C2×C4⋊C4C2414yes—
859C2×C4⋊C4C2414yes—
860C2×C4⋊C4C2414yes—
861C2×C4⋊C4C2414yes—
862C2×C4⋊C4C2414yes—
863C2×C4⋊C4C2414yes—
864C2×C4⋊C4C2414yes—
865C2×C4⋊C4C2414yes—
866C2×C4⋊C4C2414yes—
867C2×C22⋊C4—24no—
868C2×C22⋊C4—24no—
869C2×C22⋊C4—24no—
870C2×C22⋊C4—24no—
871C2×C22⋊C4—24no—
872C2×C22⋊C4—24no—
873C2×C22⋊C4—24no—
874C2×C22⋊C4—24no—
875C2×C22⋊C4—24no—
876C2×C22⋊C4—24no—
877C2×C22⋊C4—24no—
878C2×C22⋊C4—24no—
879C2×C22⋊C4—24no—
880C2×C22⋊C4—24no—
881C2×C22⋊C4—24no—
882C2×C22⋊C4—24no—
883C2×C22⋊C4—24no—
884C2×C22⋊C4—24no—
885C2×C22⋊C4—24no—
886C2×C22⋊C4—24no—
887C2×C22⋊C4—24no—
888C2×C22⋊C4—24no—
889C2×C22⋊C4—24no—
890C2×C22⋊C4—24no—
891C2×C22⋊C4—24no—
892C2×C22⋊C4—24no—
893C2×C22⋊C4—24no—
894C2×C22⋊C4—24no—
895C2×C22⋊C4—24no—
896C2×C22⋊C4—416no—
897C2×C22⋊C4—42no—
898C2×C22⋊C4—42no—
899C2×C22⋊C4—42no—
900C2×C22⋊C4—42no—
901C2×C22⋊C4—42no—
902C2×C22⋊C4—42no—
903C2×C22⋊C4—42no—
904C2×C22⋊C4—42no—
905C2×C22⋊C4—42no—
906C2×C22⋊C4—42no—
907C2×C22⋊C4—42no—
908C2×C22⋊C4—42no—
909C2×C22⋊C4—42no—
910C2×C22⋊C4—42no—
911C2×C22⋊C4—42no—
912C2×C22⋊C4—42no—
913C2×C22⋊C4—42no—
914C2×C22⋊C4—42no—
915C2×C22⋊C4—42no—
916C2×C22⋊C4—42no—
917C2×C22⋊C4—42no—
918C2×C22⋊C4—42no—
919C2×C22⋊C4—42no—
920C2×C22⋊C4—42no—
921C2×C22⋊C4—42no—
922C2×C22⋊C4C2×D418yes—
923C2×C22⋊C4C2×D418yes—
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×C22⋊C4C2414yes—
957C2×C22⋊C4C2414yes—
958C2×C22⋊C4C2414yes—
959C2×C22⋊C4C2414yes—
960C2×C22⋊C4C2414yes—
961C2×C22⋊C4C2414yes—
962C2×C22⋊C4C2414yes—
963C2×C22⋊C4C2414yes—
964C2×C22⋊C4C2414yes—
965C2×C22⋊C4C2414yes—
966C2×C22⋊C4C2414yes—
967C2×C22⋊C4C2414yes—
968C2×C22⋊C4C2414yes—
969C2×C22⋊C4C2414yes—
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2414yes—
972C2×C22⋊C4C2414yes—
973C2×C22⋊C4C2414yes—
974C2×C22⋊C4C2414yes—
975C2×C22⋊C4C2414yes—
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2414yes—
980C2×C42—24no—
981C2×C42—24no—
982C2×C42—24no—
983C2×C42—42no—
984C2×C42—42no—
985C2×C42—42no—
986C2×C42—42no—
987C2×C42C2414yes—
988C2×C42C2414yes—
989C2×C42C2414yes—
990C2×C42C2414yes—
991C2×C42C2414yes—
992C2×C42C2414yes—
993C2×C42C2414yes—
994#95C2414yes—
995#95C2414yes—
996#95C2414yes—
997#95C2414yes—
998#95C2414yes—
999#95C2414yes—
1000#95C2414yes—
1001#95C2414yes—
1002#95C2414yes—
1003#95C2414yes—
1004#95C2414yes—
1005#95C2414yes—
1006#95C2414yes—
1007#95C2414yes—
1008#95C2414yes—
1009#95C2414yes—
1010#95C2414yes—
1011#95C2414yes—
1012#95C2414yes—
1013#95C2414yes—
1014#95C2414yes—
1015#95C2414yes—
1016#95C2414yes—
1017#95C2414yes—
1018#95C2414yes—
1019#95C2414yes—
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—22no—
1037C24—22no—
1038C24—22no—
1039C24—22no—
1040C24—22no—
1041C24—22no—
1042C24—22no—
1043C24—22no—
1044C24—22no—
1045C24—22no—
1046C24—22no—
1047C24—22no—
1048C24—22no—
1049C24—22no—
1050C24—22no—
1051C24—22no—
1052C24—22no—
1053C24—22no—
1054C24—22no—
1055C24—22no—
1056C24—22no—
1057C24—22no—
1058C24—22no—
1059C24—22no—
1060C24—22no—
1061C24—22no—
1062C24—22no—
1063C24—22no—
1064C24—22no—
1065C24—22no—
1066C24—22no—
1067C24—22no—
1068C24—22no—
1069C24—22no—
1070C24—22no—
1071C24—22no—
1072C24—22no—
1073C24—28no—
1074C24—44no—
1075C24—44no—
1076C24—44no—
1077C24—44no—
1078C24—44no—
1079C24—44no—
1080C24—416no—
1081C24—88no—
1082C24—88no—
1083C24—88no—
1084C24—88no—
1085C24—88no—
1086C24—88no—
1087C24C22×D414yes—
1088C24C22×D414yes—
1089C24C22×D414yes—
1090C24C2512yes—
1091C24C2512yes—
1092C24C2512yes—
1093C24C2512yes—
1094C24C2512yes—
1095C24C2512yes—
1096C24C2512yes—
1097C24C2512yes—
1098C24C2511yescharacteristic
1099C2×D4—28no—
1100C2×D4—28no—
1101C2×D4—28no—
1102C2×D4—28no—
1103C2×D4—28no—
1104C2×D4—28no—
1105C2×D4—28no—
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—44no—
1120C2×D4—44no—
1121C2×D4—44no—
1122C2×D4—416no—
1123C2×D4—416no—
1124C2×D4—416no—
1125C2×D4—44no—
1126C2×D4—44no—
1127C2×D4—44no—
1128C2×D4—44no—
1129C2×D4—44no—
1130C2×D4—416no—
1131C2×D4—416no—
1132C2×D4—44no—
1133C2×D4—44no—
1134C2×D4—44no—
1135C2×D4—44no—
1136C2×D4—44no—
1137C2×D4—44no—
1138C2×D4—44no—
1139C2×D4—44no—
1140C2×D4—44no—
1141C2×D4—44no—
1142C2×D4—44no—
1143C2×D4—44no—
1144C2×D4—44no—
1145C2×D4—44no—
1146C2×D4—44no—
1147C2×D4—44no—
1148C2×D4—44no—
1149C2×D4—44no—
1150C2×D4—44no—
1151C2×D4—44no—
1152C2×D4—44no—
1153C2×D4—44no—
1154C2×D4—44no—
1155C2×D4—44no—
1156C2×D4—44no—
1157C2×D4—44no—
1158C2×D4—44no—
1159C2×D4—44no—
1160C2×D4—44no—
1161C2×D4—44no—
1162C2×D4—44no—
1163C2×D4—44no—
1164C2×D4—44no—
1165C2×D4—44no—
1166C2×D4—44no—
1167C2×D4—44no—
1168C2×D4—44no—
1169C2×D4—44no—
1170C2×D4—44no—
1171C2×D4—44no—
1172C2×D4—44no—
1173C2×D4—44no—
1174C2×D4—44no—
1175C2×D4—44no—
1176C2×D4—88no—
1177C2×D4—88no—
1178C2×D4—88no—
1179C2×D4—88no—
1180C2×D4—88no—
1181C2×D4—88no—
1182C2×D4—88no—
1183C2×D4—88no—
1184C2×D4—88no—
1185C2×D4—88no—
1186C2×D4—88no—
1187C2×D4—88no—
1188C2×D4—88no—
1189C2×D4—88no—
1190C2×D4—88no—
1191C2×D4—88no—
1192C2×D4—88no—
1193C2×D4—88no—
1194C2×D4—88no—
1195C2×D4—88no—
1196C2×D4C22×D4116yes—
1197C2×D4C22×D4116yes—
1198C2×D4C22×D4116yes—
1199C22×C4—22no—
1200C22×C4—22no—
1201C22×C4—22no—
1202C22×C4—22no—
1203C22×C4—22no—
1204C22×C4—22no—
1205C22×C4—22no—
1206C22×C4—22no—
1207C22×C4—22no—
1208C22×C4—22no—
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—28no—
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—22no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—22no—
1246C22×C4—22no—
1247C22×C4—22no—
1248C22×C4—22no—
1249C22×C4—22no—
1250C22×C4—22no—
1251C22×C4—22no—
1252C22×C4—22no—
1253C22×C4—22no—
1254C22×C4—22no—
1255C22×C4—22no—
1256C22×C4—22no—
1257C22×C4—22no—
1258C22×C4—22no—
1259C22×C4—22no—
1260C22×C4—22no—
1261C22×C4—22no—
1262C22×C4—28no—
1263C22×C4—28no—
1264C22×C4—28no—
1265C22×C4—28no—
1266C22×C4—28no—
1267C22×C4—28no—
1268C22×C4—28no—
1269C22×C4—28no—
1270C22×C4—28no—
1271C22×C4—28no—
1272C22×C4—44no—
1273C22×C4—44no—
1274C22×C4—416no—
1275C22×C4—44no—
1276C22×C4—44no—
1277C22×C4—416no—
1278C22×C4—44no—
1279C22×C4—44no—
1280C22×C4—44no—
1281C22×C4—44no—
1282C22×C4—44no—
1283C22×C4—44no—
1284C22×C4—44no—
1285C22×C4—44no—
1286C22×C4—44no—
1287C22×C4—44no—
1288C22×C4—44no—
1289C22×C4—44no—
1290C22×C4—44no—
1291C22×C4—44no—
1292C22×C4—44no—
1293C22×C4—44no—
1294C22×C4—44no—
1295C22×C4—416no—
1296C22×C4—88no—
1297C22×C4—88no—
1298C22×C4—88no—
1299C22×C4—88no—
1300C22×C4—88no—
1301C22×C4—88no—
1302C22×C4—88no—
1303C22×C4—88no—
1304C22×C4C22×D414yes—
1305C22×C4C22×D414yes—
1306C22×C4C22×D414yes—
1307C22×C4C22×D414yes—
1308C22×C4C22×D4116yes—
1309C22×C4H(5,𝔽2)14yes—
1310C22×C4H(5,𝔽2)14yes—
1311C22×C4H(5,𝔽2)14yes—
1312C22×C4C2512yes—
1313C22×C4C2512yes—
1314C22×C4C2512yes—
1315C22×C4C2512yes—
1316C22×C4C2512yes—
1317C22×C4C2512yes—
1318C22×C4C2512yes—
1319C22×C4C2512yes—
1320C22×C4C2512yes—
1321C22×C4C2512yes—
1322C22×C4C2512yes—
1323C22×C4C2512yes—
1324C22×C4C2512yes—
1325C22×C4C2512yes—
1326C22×C4C2512yes—
1327C22×C4C2512yes—
1328C22×C4C2512yes—
1329C22×C4C2512yes—
1330C22×C4C2512yes—
1331C22×C4C2512yes—
1332C22×C4C2512yes—
1333C22×C4C2512yes—
1334C22×C4C2512yes—
1335C4⋊C4—28no—
1336C4⋊C4—28no—
1337C4⋊C4—28no—
1338C4⋊C4—28no—
1339C4⋊C4—28no—
1340C4⋊C4—28no—
1341C4⋊C4—28no—
1342C4⋊C4—28no—
1343C4⋊C4—28no—
1344C4⋊C4—28no—
1345C4⋊C4—28no—
1346C4⋊C4—28no—
1347C4⋊C4—28no—
1348C4⋊C4—28no—
1349C4⋊C4—28no—
1350C4⋊C4—28no—
1351C4⋊C4—28no—
1352C4⋊C4—28no—
1353C4⋊C4—28no—
1354C4⋊C4—44no—
1355C4⋊C4—44no—
1356C4⋊C4—44no—
1357C4⋊C4—44no—
1358C4⋊C4—44no—
1359C4⋊C4—44no—
1360C4⋊C4—44no—
1361C4⋊C4—44no—
1362C4⋊C4—44no—
1363C4⋊C4C22×D4116yes—
1364C22⋊C4—28no—
1365C22⋊C4—28no—
1366C22⋊C4—28no—
1367C22⋊C4—28no—
1368C22⋊C4—28no—
1369C22⋊C4—28no—
1370C22⋊C4—28no—
1371C22⋊C4—28no—
1372C22⋊C4—28no—
1373C22⋊C4—28no—
1374C22⋊C4—28no—
1375C22⋊C4—28no—
1376C22⋊C4—28no—
1377C22⋊C4—28no—
1378C22⋊C4—28no—
1379C22⋊C4—28no—
1380C22⋊C4—28no—
1381C22⋊C4—28no—
1382C22⋊C4—28no—
1383C22⋊C4—28no—
1384C22⋊C4—28no—
1385C22⋊C4—28no—
1386C22⋊C4—28no—
1387C22⋊C4—28no—
1388C22⋊C4—28no—
1389C22⋊C4—28no—
1390C22⋊C4—28no—
1391C22⋊C4—28no—
1392C22⋊C4—28no—
1393C22⋊C4—44no—
1394C22⋊C4—44no—
1395C22⋊C4—44no—
1396C22⋊C4—44no—
1397C22⋊C4—44no—
1398C22⋊C4—44no—
1399C22⋊C4—44no—
1400C22⋊C4—44no—
1401C22⋊C4—44no—
1402C22⋊C4—44no—
1403C22⋊C4—44no—
1404C22⋊C4—44no—
1405C22⋊C4—44no—
1406C22⋊C4—44no—
1407C22⋊C4—44no—
1408C22⋊C4—44no—
1409C22⋊C4—44no—
1410C22⋊C4—44no—
1411C22⋊C4—44no—
1412C22⋊C4—44no—
1413C22⋊C4—44no—
1414C22⋊C4—44no—
1415C22⋊C4—44no—
1416C22⋊C4—44no—
1417C22⋊C4—44no—
1418C22⋊C4C22×D4116yes—
1419C22⋊C4C22×D4116yes—
1420C42—28no—
1421C42—28no—
1422C42—28no—
1423C42—44no—
1424C42—44no—
1425C42—44no—
1426C42—44no—
1427C23—22no—
1428C23—22no—
1429C23—22no—
1430C23—22no—
1431C23—22no—
1432C23—22no—
1433C23—22no—
1434C23—22no—
1435C23—22no—
1436C23—22no—
1437C23—22no—
1438C23—22no—
1439C23—22no—
1440C23—22no—
1441C23—22no—
1442C23—22no—
1443C23—22no—
1444C23—22no—
1445C23—28no—
1446C23—28no—
1447C23—28no—
1448C23—28no—
1449C23—28no—
1450C23—28no—
1451C23—28no—
1452C23—28no—
1453C23—28no—
1454C23—22no—
1455C23—22no—
1456C23—22no—
1457C23—22no—
1458C23—22no—
1459C23—22no—
1460C23—22no—
1461C23—22no—
1462C23—22no—
1463C23—22no—
1464C23—22no—
1465C23—22no—
1466C23—22no—
1467C23—22no—
1468C23—22no—
1469C23—22no—
1470C23—22no—
1471C23—22no—
1472C23—22no—
1473C23—22no—
1474C23—22no—
1475C23—22no—
1476C23—22no—
1477C23—22no—
1478C23—22no—
1479C23—22no—
1480C23—22no—
1481C23—22no—
1482C23—22no—
1483C23—22no—
1484C23—22no—
1485C23—22no—
1486C23—22no—
1487C23—22no—
1488C23—22no—
1489C23—44no—
1490C23—44no—
1491C23—44no—
1492C23—44no—
1493C23—44no—
1494C23—44no—
1495C23—44no—
1496C23—44no—
1497C23—44no—
1498C23—44no—
1499C23—44no—
1500C23—44no—
1501C23—416no—
1502C23—44no—
1503C23—44no—
1504C23—44no—
1505C23—44no—
1506C23—44no—
1507C23—44no—
1508C23—44no—
1509C23—44no—
1510C23—44no—
1511C23—44no—
1512C23—44no—
1513C23—44no—
1514C23—44no—
1515C23—44no—
1516C23—44no—
1517C23—44no—
1518C23—44no—
1519C23—44no—
1520C23—44no—
1521C23—44no—
1522C23—44no—
1523C23—44no—
1524C23—44no—
1525C23—44no—
1526C23—44no—
1527C23—44no—
1528C23—44no—
1529C23—44no—
1530C23—44no—
1531C23—44no—
1532C23—44no—
1533C23—44no—
1534C23—44no—
1535C23—44no—
1536C23—44no—
1537C23—88no—
1538C23—88no—
1539C23—88no—
1540C23—88no—
1541C23—88no—
1542C23—88no—
1543C23—864no—
1544C23C23×D414yes—
1545C23C23×D414yes—
1546C23C23×D414yes—
1547C23C23×D412yes—
1548C23C2×H(5,𝔽2)12yes—
1549C23C2×H(5,𝔽2)12yes—
1550C23C2×H(5,𝔽2)12yes—
1551C23#58512yes—
1552C23#58512yes—
1553C23#58512yes—
1554C23C2611yescharacteristic
1555D4—416no—
1556D4—416no—
1557D4—416no—
1558D4—416no—
1559D4—416no—
1560D4—88no—
1561D4—88no—
1562D4—88no—
1563D4—88no—
1564D4—88no—
1565D4—88no—
1566D4—88no—
1567D4—88no—
1568D4—88no—
1569D4—88no—
1570D4—88no—
1571D4—88no—
1572D4—88no—
1573D4—88no—
1574D4—88no—
1575D4—88no—
1576D4—88no—
1577D4—88no—
1578D4—88no—
1579D4—88no—
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—28no—
1595C2×C4—28no—
1596C2×C4—28no—
1597C2×C4—28no—
1598C2×C4—28no—
1599C2×C4—28no—
1600C2×C4—28no—
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—22no—
1614C2×C4—22no—
1615C2×C4—22no—
1616C2×C4—22no—
1617C2×C4—22no—
1618C2×C4—22no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—22no—
1623C2×C4—22no—
1624C2×C4—22no—
1625C2×C4—22no—
1626C2×C4—22no—
1627C2×C4—22no—
1628C2×C4—22no—
1629C2×C4—22no—
1630C2×C4—22no—
1631C2×C4—22no—
1632C2×C4—22no—
1633C2×C4—22no—
1634C2×C4—22no—
1635C2×C4—22no—
1636C2×C4—22no—
1637C2×C4—22no—
1638C2×C4—22no—
1639C2×C4—22no—
1640C2×C4—22no—
1641C2×C4—22no—
1642C2×C4—22no—
1643C2×C4—22no—
1644C2×C4—22no—
1645C2×C4—22no—
1646C2×C4—22no—
1647C2×C4—22no—
1648C2×C4—22no—
1649C2×C4—416no—
1650C2×C4—416no—
1651C2×C4—416no—
1652C2×C4—44no—
1653C2×C4—44no—
1654C2×C4—44no—
1655C2×C4—44no—
1656C2×C4—44no—
1657C2×C4—44no—
1658C2×C4—44no—
1659C2×C4—44no—
1660C2×C4—44no—
1661C2×C4—44no—
1662C2×C4—44no—
1663C2×C4—44no—
1664C2×C4—44no—
1665C2×C4—44no—
1666C2×C4—44no—
1667C2×C4—44no—
1668C2×C4—88no—
1669C2×C4—88no—
1670C2×C4—88no—
1671C2×C4—88no—
1672C2×C4—88no—
1673C2×C4—88no—
1674C2×C4—88no—
1675C2×C4—88no—
1676C2×C4C23×D414yes—
1677C2×C4C23×D414yes—
1678C2×C4C23×D414yes—
1679C2×C4C23×D414yes—
1680C2×C4C2×H(5,𝔽2)14yes—
1681C2×C4C2×H(5,𝔽2)14yes—
1682C2×C4C2×H(5,𝔽2)14yes—
1683C22—24no—
1684C22—24no—
1685C22—24no—
1686C22—24no—
1687C22—24no—
1688C22—24no—
1689C22—24no—
1690C22—24no—
1691C22—24no—
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—416no—
1705C22—416no—
1706C22—416no—
1707C22—42no—
1708C22—42no—
1709C22—42no—
1710C22—42no—
1711C22—42no—
1712C22—42no—
1713C22—42no—
1714C22—42no—
1715C22—42no—
1716C22—42no—
1717C22—42no—
1718C22—42no—
1719C22—42no—
1720C22—42no—
1721C22—42no—
1722C22—42no—
1723C22—42no—
1724C22—42no—
1725C22—42no—
1726C22—42no—
1727C22—42no—
1728C22—42no—
1729C22—42no—
1730C22—42no—
1731C22—42no—
1732C22—42no—
1733C22—42no—
1734C22—42no—
1735C22—42no—
1736C22—42no—
1737C22—42no—
1738C22—42no—
1739C22—42no—
1740C22—42no—
1741C22—42no—
1742C22—832no—
1743C22—88no—
1744C22—88no—
1745C22—88no—
1746C22—88no—
1747C22—88no—
1748C22#348814yes—
1749C22#349614yes—
1750C22#349614yes—
1751C22#353714yes—
1752C22#353914yes—
1753C22#355114yes—
1754C22#356214yes—
1755C22C24×D411yescharacteristic
1756C22C22×H(5,𝔽2)11yescharacteristic
1757C22C22×H(5,𝔽2)11yescharacteristic
1758C22C22×H(5,𝔽2)11yescharacteristic
1759C22C2×#58511yescharacteristic
1760C22C2×#58511yescharacteristic
1761C22C2×#58511yescharacteristic
1762C4—24no—
1763C4—24no—
1764C4—24no—
1765C4—24no—
1766C4—24no—
1767C4—24no—
1768C4—24no—
1769C4—42no—
1770C4—42no—
1771C4—42no—
1772C4—42no—
1773C4—42no—
1774C4—42no—
1775C4—42no—
1776C4—42no—
1777C4—42no—
1778C4—42no—
1779C4—42no—
1780C4—42no—
1781C4—42no—
1782C4—42no—
1783C4—42no—
1784C4—42no—
1785C2—44no—
1786C2—44no—
1787C2—44no—
1788C2—82no—
1789C2—82no—
1790C2—82no—
1791C2—82no—
1792C2—82no—
1793C2#4957318yesdirect product factor
1794C2C2×#353711yescharacteristic
1795C2C2×#353911yescharacteristic
1796C2C2×#355111yescharacteristic
1797C2C2×#356211yescharacteristic
1798C2C2×#349611yescharacteristic
1799C2C2×#349611yescharacteristic
1800C2C2×#348811yescharacteristic
subgroupG/H
center, socleC24C25
commutator, Frattini, cosocleC23C26
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×#560C2semidirect
2. C22×#540C2semidirect
3. C2×#2725C2semidirect
4. C2×#2708C2semidirect
5. C2×#2703C2semidirect
6. C2×#2699C2semidirect
7. C2×#2695C2semidirect
8. C2×#2688C2semidirect
9. C2×#2682C2semidirect
10. C2×#2678C2semidirect
11. C2×#2678C2semidirect
12. C2×#2675C2semidirect
13. C2×#2673C2semidirect
14. C2×#2669C2semidirect
15. #49573C2direct (N × H)
16. C2×#2602C2semidirect
17. C2×#2558C2semidirect
18. C2×#2554C2semidirect
19. C2×#2534C2semidirect
20. C2×#2413C2semidirect
21. C2×#2476C2semidirect
22. C2×#2428C2semidirect
23. C2×#2428C2semidirect
24. C2×#2416C2semidirect
25. C2×#2416C2semidirect
26. C2×#2416C2semidirect
27. C2×#2466C2semidirect
28. C2×#2424C2semidirect
29. C2×#2424C2semidirect
30. C2×#2661C2semidirect
31. C2×#2618C2semidirect
32. C2×#2361C2semidirect
34. C2×#560C22semidirect
36. C2×#540C22semidirect
41. C22×#125C22semidirect
48. C22×#123C22semidirect
49. C22×#123C22semidirect
64. C22×#121C22semidirect
65. C22×#121C22semidirect
66. C22×#121C22semidirect
67. C22×#121C22semidirect
68. C22×#121C22semidirect
69. C22×#121C22semidirect
78. C22×C4×D4C22semidirect
79. C22×C4×D4C22semidirect
80. C22×#117C22semidirect
81. C23×C4⋊C4C22semidirect
82. C23×C4⋊C4C22semidirect
84. #2725C22semidirect
85. #2708C22semidirect
86. #2703C22semidirect
87. #2699C22semidirect
88. #2695C22semidirect
89. #2688C22semidirect
90. #2682C22semidirect
91. #2678C22semidirect
92. #2678C22semidirect
93. #2675C22semidirect
94. #2673C22semidirect
95. #2669C22semidirect
96. #2661C22semidirect
97. #2618C22semidirect
98. #2602C22semidirect
99. #2558C22semidirect
100. #2554C22semidirect
101. #2534C22semidirect
102. #2476C22semidirect
103. #2466C22semidirect
104. #2428C22semidirect
105. #2428C22semidirect
106. #2424C22semidirect
107. #2424C22semidirect
108. #2416C22semidirect
109. #2416C22semidirect
110. #2416C22semidirect
111. #2413C22semidirect
112. C2×#400C22semidirect
113. C2×#400C22semidirect
114. C2×#398C22semidirect
115. C2×#398C22semidirect
116. C2×#398C22semidirect
117. C2×#398C22semidirect
120. C2×#397C22semidirect
121. C2×#397C22semidirect
128. C2×#396C22semidirect
129. C2×#396C22semidirect
130. C2×#396C22semidirect
131. C2×#396C22semidirect
144. C2×#394C22semidirect
145. C2×#394C22semidirect
146. C2×#394C22semidirect
147. C2×#394C22semidirect
158. C2×#392C22semidirect
159. C2×#392C22semidirect
160. #2361C22semidirect
167. C2×#390C22semidirect
168. C2×#390C22semidirect
169. C2×#389C22semidirect
170. C2×#389C22semidirect
171. C2×#389C22semidirect
172. C2×#389C22semidirect
173. C2×#389C22semidirect
174. C2×#389C22semidirect
183. C2×#388C22semidirect
184. C2×#388C22semidirect
185. C2×#388C22semidirect
186. C2×#388C22semidirect
187. C2×#387C22semidirect
188. C2×#387C22semidirect
198. C2×#386C22semidirect
199. C2×#386C22semidirect
200. C2×#386C22semidirect
201. C2×#386C22semidirect
202. C2×#386C22semidirect
203. C2×#386C22semidirect
206. C2×#385C22semidirect
207. C2×#385C22semidirect
208. C2×#385C22semidirect
209. C2×#385C22semidirect
210. C2×#385C22semidirect
212. C2×#381C22semidirect
214. C2×#380C22semidirect
215. C2×#380C22semidirect
217. C2×C4×C4⋊C4C22semidirect
218. C2×C4×C22⋊C4C22semidirect
219. C2×C4×C22⋊C4C22semidirect
220. C2×C4×C22⋊C4C22semidirect
269. C2×#125C23semidirect
284. C2×#123C23semidirect
285. C2×#123C23semidirect
305. C2×#121D4semidirect
320. C2×#121C23semidirect
321. C2×#121C23semidirect
322. C2×#121C23semidirect
323. C2×#121C23semidirect
324. C2×#121C23semidirect
325. C2×#121C23semidirect
344. C2×C4×D4C23semidirect
345. C2×C4×D4C23semidirect
347. C2×#117C23semidirect
379. C22×C4⋊C4C23semidirect
380. C22×C4⋊C4C23semidirect
446. #400C23semidirect
447. #400C23semidirect
448. #398C23semidirect
449. #398C23semidirect
450. #398C23semidirect
451. #398C23semidirect
454. #397C23semidirect
455. #397C23semidirect
462. #396C23semidirect
463. #396C23semidirect
464. #396C23semidirect
465. #396C23semidirect
478. #394C23semidirect
479. #394C23semidirect
480. #394C23semidirect
481. #394C23semidirect
492. #392C23semidirect
493. #392C23semidirect
500. #390C23semidirect
501. #390C23semidirect
502. #389C23semidirect
503. #389C23semidirect
504. #389C23semidirect
505. #389C23semidirect
506. #389C23semidirect
507. #389C23semidirect
516. #388C23semidirect
517. #388C23semidirect
518. #388C23semidirect
519. #388C23semidirect
520. #387C23semidirect
521. #387C23semidirect
531. #386C23semidirect
532. #386C23semidirect
533. #386C23semidirect
534. #386C23semidirect
535. #386C23semidirect
536. #386C23semidirect
539. #385C23semidirect
540. #385C23semidirect
541. #385C23semidirect
542. #385C23semidirect
543. #385C23semidirect
545. #381C23semidirect
547. #380C23semidirect
548. #380C23semidirect
550. C4×C4⋊C4C23semidirect
551. C4×C22⋊C4C23semidirect
552. C4×C22⋊C4C23semidirect
553. C4×C22⋊C4C23semidirect
795. #121C2×D4semidirect
1793. C2#49573direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#5602
C22×#5402
C2×#27252
C2×#27082
C2×#27032
C2×#26992
C2×#26952
C2×#26882
C2×#26822
C2×#26782
C2×#26752
C2×#26732
C2×#26692
#495732
C2×#26022
C2×#25582
C2×#25542
C2×#25342
C2×#24132
C2×#24762
C2×#24282
C2×#24162
C2×#24662
C2×#24242
C2×#26612
C2×#26182
C2×#23612