Finite Group Databasebeta

← C2×#39944 #7637587

Subgroups — C2×#39944 #7637587

Order 512.

8682 conjugacy classes of subgroups.

The subgroup lattice has 1732 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#553C211yesmaximal, characteristic, complemented
2C22×#551C211yesmaximal, characteristic, complemented
3C2×#2721C211yesmaximal, characteristic, complemented
4C2×#2714C211yesmaximal, characteristic, complemented
5C2×#2694C211yesmaximal, characteristic, complemented
6C2×#2681C211yesmaximal, characteristic, complemented
7C2×#2680C211yesmaximal, characteristic, complemented
8C2×#2678C211yesmaximal, characteristic, complemented
9C2×#2673C211yesmaximal, characteristic, complemented
10C2×#2669C211yesmaximal, characteristic, complemented
11#39944C2132yesmaximal, direct product factor
12C2×#2860C211yesmaximal, characteristic, complemented
13C2×#2602C211yesmaximal, characteristic, complemented
14C2×#2540C211yesmaximal, characteristic, complemented
15C2×#2601C211yesmaximal, characteristic, complemented
16C2×#2603C211yesmaximal, characteristic, complemented
17C2×#2603C211yesmaximal, characteristic, complemented
18C2×#2539C211yesmaximal, characteristic, complemented
19C2×#2463C211yesmaximal, characteristic, complemented
20C2×#2456C211yesmaximal, characteristic, complemented
21C2×#2456C211yesmaximal, characteristic, complemented
22C2×#2455C211yesmaximal, characteristic, complemented
23C2×#2449C211yesmaximal, characteristic, complemented
24C2×#2424C211yesmaximal, characteristic, complemented
25C2×#2443C211yesmaximal, characteristic, complemented
26C2×#2418C211yesmaximal, characteristic, complemented
27C2×#2662C211yesmaximal, characteristic, complemented
28C2×#2661C211yesmaximal, characteristic, complemented
29C2×#2324C211yesmaximal, characteristic, complemented
30C2×#2321C211yesmaximal, characteristic, complemented
31C2×C4×#127C211yesmaximal, characteristic, complemented
32C2×#2298C211yesmaximal, characteristic, complemented
33C2×#553—216no—
34C2×#553C22116yescomplemented
35C2×#551—216no—
36C2×#551C22116yescomplemented
37C22×#127C2211yescharacteristic
38C22×#126C2211yescharacteristic
39C22×#126C2211yescharacteristic
40C22×#126C2211yescharacteristic, complemented
41C22×#126C2211yescharacteristic, complemented
42C22×#125C2211yescharacteristic, complemented
43C22×#124C2211yescharacteristic
44C22×#123C2211yescharacteristic
45C22×#123C2211yescharacteristic
46C22×#123C2211yescharacteristic
47C22×#123C2211yescharacteristic
48C22×#123C2211yescharacteristic
49C22×#123C2211yescharacteristic
50C22×#123C2211yescharacteristic
51C22×C22⋊Q8C2211yescharacteristic
52C22×C22⋊Q8C2211yescharacteristic
53C22×C22⋊Q8C2211yescharacteristic, complemented
54C22×C22⋊Q8C2211yescharacteristic, complemented
55C22×#121C2211yescharacteristic
56C22×#121C2211yescharacteristic
57C22×#121C2211yescharacteristic
58C22×#121C2211yescharacteristic
59C22×#121C2211yescharacteristic
60C22×#121C2211yescharacteristic
61C22×#121C2211yescharacteristic, complemented
62C22×#120C2211yescharacteristic
63C22×#120C2211yescharacteristic
64C22×#120C2211yescharacteristic
65C22×#120C2211yescharacteristic
66C22×C4×D4C2211yescharacteristic
67C22×C4×D4C2211yescharacteristic
68C22×C4×D4C2211yescharacteristic
69C22×C4×D4C2211yescharacteristic
70C22×C4×D4C2211yescharacteristic
71C22×C4×D4C2211yescharacteristic, complemented
72C22×C4×D4C2211yescharacteristic, complemented
73C22×C4×D4C2211yescharacteristic, complemented
74C22×C4×D4C2211yescharacteristic, complemented
75C22×C4×D4C2211yescharacteristic, complemented
76C22×#117C2211yescharacteristic
77C22×#117C2211yescharacteristic
78C23×C4⋊C4C2211yescharacteristic, complemented
79C23×C22⋊C4C2211yescharacteristic
80C23×C22⋊C4C2211yescharacteristic
81#2860C22116yescomplemented
82#2721C22116yescomplemented
83#2714C22116yescomplemented
84#2694C22116yescomplemented
85#2681C22116yescomplemented
86#2680C22116yescomplemented
87#2678C22116yescomplemented
88#2673C22116yescomplemented
89#2669C22116yescomplemented
90#2662C22116yescomplemented
91#2661C22116yescomplemented
92#2603C22116yescomplemented
93#2603C22116yescomplemented
94#2602C22116yescomplemented
95#2601C22116yescomplemented
96#2540C22116yescomplemented
97#2539C22116yescomplemented
98#2463C22116yescomplemented
99#2456C22116yescomplemented
100#2456C22116yescomplemented
101#2455C22116yescomplemented
102#2449C22116yescomplemented
103#2443C22116yescomplemented
104#2424C22116yescomplemented
105#2418C22116yescomplemented
106C2×#399C2211yescharacteristic
107C2×#399C2211yescharacteristic
108C2×#399C2211yescharacteristic
109C2×#399C2211yescharacteristic, complemented
110C2×#398C2211yescharacteristic, complemented
111C2×#398C2211yescharacteristic, complemented
112C2×#398C2211yescharacteristic, complemented
113C2×#398C2211yescharacteristic, complemented
114C2×#397C2211yescharacteristic
115C2×#397C2211yescharacteristic
116C2×#397C2211yescharacteristic, complemented
117C2×#397C2211yescharacteristic, complemented
118C2×#396C2211yescharacteristic
119C2×#396C2211yescharacteristic
120C2×#396C2211yescharacteristic, complemented
121C2×#396C2211yescharacteristic, complemented
122C2×#395C2211yescharacteristic, complemented
123C2×#394C2211yescharacteristic
124C2×#394C2211yescharacteristic
125C2×#394C2211yescharacteristic
126C2×#394C2211yescharacteristic
127C2×#394C2211yescharacteristic
128C2×#394C2211yescharacteristic
129C2×#394C2211yescharacteristic
130C2×#394C2211yescharacteristic
131C2×#394C2211yescharacteristic, complemented
132C2×#394C2211yescharacteristic, complemented
133C2×#394C2211yescharacteristic, complemented
134C2×#393C2211yescharacteristic, complemented
135C2×#392C2211yescharacteristic
136C2×#392C2211yescharacteristic
137C2×#392C2211yescharacteristic
138C2×#392C2211yescharacteristic
139C2×#392C2211yescharacteristic
140C2×#392C2211yescharacteristic
141C2×#392C2211yescharacteristic
142C2×#392C2211yescharacteristic
143C2×#392C2211yescharacteristic
144C2×#392C2211yescharacteristic, complemented
145C2×#392C2211yescharacteristic, complemented
146#2324C22116yescomplemented
147#2321C22116yescomplemented
148C4×#127C22116yescomplemented
149#2298C22116yescomplemented
150C2×#390C2211yescharacteristic
151C2×#390C2211yescharacteristic
152C2×#390C2211yescharacteristic
153C2×#390C2211yescharacteristic
154C2×#390C2211yescharacteristic
155C2×#390C2211yescharacteristic
156C2×#390C2211yescharacteristic
157C2×#390C2211yescharacteristic
158C2×#390C2211yescharacteristic
159C2×#390C2211yescharacteristic, complemented
160C2×#390C2211yescharacteristic, complemented
161C2×#390C2211yescharacteristic, complemented
162C2×#390C2211yescharacteristic, complemented
163C2×#390C2211yescharacteristic, complemented
164C2×#389C2211yescharacteristic, complemented
165C2×#389C2211yescharacteristic, complemented
166C2×#389C2211yescharacteristic, complemented
167C2×#389C2211yescharacteristic, complemented
168C2×#388C2211yescharacteristic
169C2×#388C2211yescharacteristic
170C2×#388C2211yescharacteristic
171C2×#388C2211yescharacteristic
172C2×#388C2211yescharacteristic
173C2×#388C2211yescharacteristic
174C2×#388C2211yescharacteristic
175C2×#388C2211yescharacteristic
176C2×#388C2211yescharacteristic
177C2×#388C2211yescharacteristic
178C2×#388C2211yescharacteristic, complemented
179C2×#388C2211yescharacteristic, complemented
180C2×#388C2211yescharacteristic, complemented
181C2×#388C2211yescharacteristic, complemented
182C2×#388C2211yescharacteristic, complemented
183C2×#388C2211yescharacteristic, complemented
184C2×#388C2211yescharacteristic, complemented
185C2×#388C2211yescharacteristic, complemented
186C2×#387C2211yescharacteristic, complemented
187C2×#387C2211yescharacteristic, complemented
188C2×#387C2211yescharacteristic, complemented
189C2×#387C2211yescharacteristic, complemented
190C2×#387C2211yescharacteristic, complemented
191C2×#387C2211yescharacteristic, complemented
192C2×#386C2211yescharacteristic
193C2×#386C2211yescharacteristic
194C2×#386C2211yescharacteristic
195C2×#386C2211yescharacteristic
196C2×#386C2211yescharacteristic
197C2×#386C2211yescharacteristic
198C2×#386C2211yescharacteristic
199C2×#386C2211yescharacteristic
200C2×#386C2211yescharacteristic
201C2×#386C2211yescharacteristic, complemented
202C2×#386C2211yescharacteristic, complemented
203C2×#385C2211yescharacteristic
204C2×#385C2211yescharacteristic
205C2×#385C2211yescharacteristic
206C2×#385C2211yescharacteristic, complemented
207C2×#385C2211yescharacteristic, complemented
208C2×#385C2211yescharacteristic, complemented
209C2×#385C2211yescharacteristic, complemented
210C2×#385C2211yescharacteristic, complemented
211C2×#385C2211yescharacteristic, complemented
212C2×#384C2211yescharacteristic, complemented
213C2×#380C2211yescharacteristic
214C2×#379C2211yescharacteristic
215C2×C4×C4⋊C4C2211yescharacteristic, complemented
216C2×C4×C4⋊C4C2211yescharacteristic, complemented
217C2×C4×C22⋊C4C2211yescharacteristic
218C2×C4×C22⋊C4C2211yescharacteristic
219C2×#376C2211yescharacteristic, complemented
220C2×C43C2211yescharacteristic, complemented
221C26C2311yescharacteristic
222C23×Q8C2311yescharacteristic
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
241C24×C4C2311yescharacteristic
242C24×C4C2311yescharacteristic
243C24×C4C2311yescharacteristic
244C24×C4C2311yescharacteristic
245C24×C4C2311yescharacteristic
246C24×C4C2311yescharacteristic
247C24×C4C2311yescharacteristic
248C24×C4C2311yescharacteristic
249C24×C4C2311yescharacteristic
250C24×C4C2311yescharacteristic
251#553—2128no—
252#551—2128no—
253C2×#127—28no—
254C2×#127C2318yes—
255C2×#126—28no—
256C2×#126—28no—
257C2×#126—28no—
258C2×#126—28no—
259C2×#126C2318yes—
260C2×#126C2318yes—
261C2×#126C2318yescomplemented
262C2×#126C2318yescomplemented
263C2×#125—28no—
264C2×#125C2318yescomplemented
265C2×#124—28no—
266C2×#124C2318yes—
267C2×#123—28no—
268C2×#123—28no—
269C2×#123—28no—
270C2×#123—28no—
271C2×#123—28no—
272C2×#123—44no—
273C2×#123—44no—
274C2×#123C2318yes—
275C2×#123C2318yes—
276C2×#123C2318yes—
277C2×#123C2318yes—
278C2×#123C2318yes—
279C2×#123C2318yes—
280C2×#123C2318yes—
281C2×C22⋊Q8—28no—
282C2×C22⋊Q8—28no—
283C2×C22⋊Q8—44no—
284C2×C22⋊Q8—44no—
285C2×C22⋊Q8C2318yes—
286C2×C22⋊Q8C2318yes—
287C2×C22⋊Q8C2318yescomplemented
288C2×C22⋊Q8C2318yescomplemented
289C2×#121—28no—
290C2×#121—28no—
291C2×#121—28no—
292C2×#121—28no—
293C2×#121—28no—
294C2×#121—44no—
295C2×#121—44no—
296C2×#121C2318yes—
297C2×#121C2318yes—
298C2×#121C2318yes—
299C2×#121C2318yes—
300C2×#121C2318yes—
301C2×#121C2318yes—
302C2×#121C2318yescomplemented
303C2×#120—28no—
304C2×#120—28no—
305C2×#120—44no—
306C2×#120—44no—
307C2×#120C2318yes—
308C2×#120C2318yes—
309C2×#120C2318yes—
310C2×#120C2318yes—
311C2×C4×D4—28no—
312C2×C4×D4—28no—
313C2×C4×D4—28no—
314C2×C4×D4—28no—
315C2×C4×D4—28no—
316C2×C4×D4—28no—
317C2×C4×D4—44no—
318C2×C4×D4—44no—
319C2×C4×D4—44no—
320C2×C4×D4—44no—
321C2×C4×D4C2318yes—
322C2×C4×D4C2318yes—
323C2×C4×D4C2318yes—
324C2×C4×D4C2318yes—
325C2×C4×D4C2318yes—
326C2×C4×D4C2318yescomplemented
327C2×C4×D4C2318yescomplemented
328C2×C4×D4C2318yescomplemented
329C2×C4×D4C2318yescomplemented
330C2×C4×D4C2318yescomplemented
331C2×#117—28no—
332C2×#117D4116yescomplemented
333C2×#117C2318yes—
334C2×#117C2318yes—
335C22×C4⋊C4—28no—
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⋊C4C2311yescharacteristic
348C22×C4⋊C4C2311yescharacteristic
349C22×C4⋊C4C2311yescharacteristic
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⋊C4C2318yescomplemented
368C22×C22⋊C4—28no—
369C22×C22⋊C4—28no—
370C22×C22⋊C4C2318yes—
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⋊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⋊C4C2318yes—
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×C42C2311yescharacteristic
429C22×C42C2311yescharacteristic
430C22×C42C2311yescharacteristic
431C22×C42C2311yescharacteristic
432C22×C42C2311yescharacteristic
433C22×C42C2311yescharacteristic
434C22×C42C2311yescharacteristic
435C22×C42C2311yescharacteristic
436C22×C42C2311yescharacteristic
437C22×C42C2311yescharacteristic
438C22×C42C2311yescharacteristic
439C22×C42C2311yescharacteristic
440#399C2318yes—
441#399C2318yes—
442#399C2318yes—
443#399C2318yescomplemented
444#398C2318yescomplemented
445#398C2318yescomplemented
446#398C2318yescomplemented
447#398C2318yescomplemented
448#397C2318yes—
449#397C2318yes—
450#397C2318yescomplemented
451#397C2318yescomplemented
452#396C2318yes—
453#396C2318yes—
454#396C2318yescomplemented
455#396C2318yescomplemented
456#395C2318yescomplemented
457#394C2318yes—
458#394C2318yes—
459#394C2318yes—
460#394C2318yes—
461#394C2318yes—
462#394C2318yes—
463#394C2318yes—
464#394C2318yes—
465#394C2318yescomplemented
466#394C2318yescomplemented
467#394C2318yescomplemented
468#393C2318yescomplemented
469#392C2318yes—
470#392C2318yes—
471#392C2318yes—
472#392C2318yes—
473#392C2318yes—
474#392C2318yes—
475#392C2318yes—
476#392C2318yes—
477#392C2318yes—
478#392C2318yescomplemented
479#392C2318yescomplemented
480#390C2318yes—
481#390C2318yes—
482#390C2318yes—
483#390C2318yes—
484#390C2318yes—
485#390C2318yes—
486#390C2318yes—
487#390C2318yes—
488#390C2318yes—
489#390C2318yescomplemented
490#390C2318yescomplemented
491#390C2318yescomplemented
492#390C2318yescomplemented
493#390C2318yescomplemented
494#389C2318yescomplemented
495#389C2318yescomplemented
496#389C2318yescomplemented
497#389C2318yescomplemented
498#388C2318yes—
499#388C2318yes—
500#388C2318yes—
501#388C2318yes—
502#388C2318yes—
503#388C2318yes—
504#388C2318yes—
505#388C2318yes—
506#388C2318yes—
507#388C2318yes—
508#388C2318yescomplemented
509#388C2318yescomplemented
510#388C2318yescomplemented
511#388C2318yescomplemented
512#388C2318yescomplemented
513#388C2318yescomplemented
514#388C2318yescomplemented
515#388C2318yescomplemented
516#387C2318yescomplemented
517#387C2318yescomplemented
518#387C2318yescomplemented
519#387C2318yescomplemented
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#385C2318yes—
534#385C2318yes—
535#385C2318yes—
536#385C2318yescomplemented
537#385C2318yescomplemented
538#385C2318yescomplemented
539#385C2318yescomplemented
540#385C2318yescomplemented
541#385C2318yescomplemented
542#384C2318yescomplemented
543#380C2318yes—
544#379C2318yes—
545C4×C4⋊C4C2318yescomplemented
546C4×C4⋊C4C2318yescomplemented
547C4×C22⋊C4C2318yes—
548C4×C22⋊C4C2318yes—
549#376C2318yescomplemented
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
576C43C2318yescomplemented
577C25—24no—
578C25—24no—
579C25—42no—
580C25—42no—
581C25—42no—
582C25—42no—
583C25—42no—
584C25C2411yescharacteristic
585C25C2411yescharacteristic
586C25C2411yescharacteristic
587C25C2411yescharacteristic
588C25C2411yescharacteristic
589C25C2411yescharacteristic
590C25C2411yescharacteristic
591C25C2414yes—
592C22×Q8—24no—
593C22×Q8—42no—
594C22×Q8—42no—
595C22×Q8C2414yes—
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—24no—
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#4118yes—
650C22×D4C2414yes—
651C22×D4C2414yes—
652C22×D4C2414yes—
653C22×D4C2414yes—
654C22×D4C2414yes—
655C22×D4C2414yes—
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—42no—
679C23×C4—42no—
680C23×C4—42no—
681C23×C4—42no—
682C23×C4—42no—
683C23×C4—42no—
684C23×C4—42no—
685C23×C4—42no—
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×C4C2×D418yes—
698C23×C4C2411yescharacteristic
699C23×C4C2411yescharacteristic
700C23×C4C2411yescharacteristic
701C23×C4C2411yescharacteristic
702C23×C4C2411yescharacteristic
703C23×C4C2411yescharacteristic
704C23×C4C2411yescharacteristic
705C23×C4C2411yescharacteristic
706C23×C4C2411yescharacteristic
707C23×C4C2411yescharacteristic
708C23×C4C2411yescharacteristic
709C23×C4C2411yescharacteristic
710C23×C4C2411yescharacteristic
711C23×C4C2411yescharacteristic
712C23×C4C2411yescharacteristic
713C23×C4C2414yes—
714C23×C4C2411yescharacteristic
715C23×C4C2411yescharacteristic
716C23×C4C2411yescharacteristic
717C23×C4C2411yescharacteristic
718C23×C4C2411yescharacteristic
719C23×C4C2411yescharacteristic
720C23×C4C2411yescharacteristic
721C23×C4C2411yescharacteristic
722C23×C4C2411yescharacteristic
723C23×C4C2414yes—
724C23×C4C2414yes—
725C23×C4C2414yes—
726C23×C4C2414yes—
727C23×C4C2414yes—
728C23×C4C2414yes—
729C23×C4C2414yes—
730C23×C4C2414yes—
731C23×C4C2414yes—
732#127—232no—
733#126—232no—
734#126—232no—
735#126—232no—
736#126—232no—
737#125—232no—
738#124—232no—
739#123—232no—
740#123—232no—
741#123—232no—
742#123—232no—
743#123—232no—
744#123—416no—
745#123—416no—
746C22⋊Q8—232no—
747C22⋊Q8—232no—
748C22⋊Q8—416no—
749C22⋊Q8—416no—
750#121—232no—
751#121—232no—
752#121—232no—
753#121—232no—
754#121—232no—
755#121—416no—
756#121—416no—
757#120—232no—
758#120—232no—
759#120—416no—
760#120—416no—
761C4×D4—232no—
762C4×D4—232no—
763C4×D4—232no—
764C4×D4—232no—
765C4×D4—232no—
766C4×D4—232no—
767C4×D4—416no—
768C4×D4—416no—
769C4×D4—416no—
770C4×D4—416no—
771#117—232no—
772#117C2×D4164yescomplemented
773C2×C4⋊C4—24no—
774C2×C4⋊C4—24no—
775C2×C4⋊C4—24no—
776C2×C4⋊C4—24no—
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—24no—
792C2×C4⋊C4—24no—
793C2×C4⋊C4—232no—
794C2×C4⋊C4—42no—
795C2×C4⋊C4—42no—
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⋊C4C2×D418yes—
804C2×C4⋊C4C2×D418yes—
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×C4⋊C4C2414yes—
833C2×C4⋊C4C2414yes—
834C2×C4⋊C4C2414yes—
835C2×C4⋊C4C2414yes—
836C2×C22⋊C4—24no—
837C2×C22⋊C4—24no—
838C2×C22⋊C4—24no—
839C2×C22⋊C4—24no—
840C2×C22⋊C4—24no—
841C2×C22⋊C4—24no—
842C2×C22⋊C4—24no—
843C2×C22⋊C4—24no—
844C2×C22⋊C4—24no—
845C2×C22⋊C4—24no—
846C2×C22⋊C4—232no—
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—24no—
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—24no—
867C2×C22⋊C4—24no—
868C2×C22⋊C4—24no—
869C2×C22⋊C4—24no—
870C2×C22⋊C4—232no—
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⋊C4C2×D418yes—
893C2×C22⋊C4C2×D418yes—
894C2×C22⋊C4C2414yes—
895C2×C22⋊C4C2414yes—
896C2×C22⋊C4C2414yes—
897C2×C22⋊C4C2414yes—
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×C42—24no—
951C2×C42—24no—
952C2×C42—24no—
953C2×C42—24no—
954C2×C42—24no—
955C2×C42—42no—
956C2×C42—42no—
957C2×C42—42no—
958C2×C42—42no—
959C2×C42—42no—
960C2×C42C2×D418yes—
961C2×C42C2×D418yes—
962C2×C42C2414yes—
963C2×C42C2414yes—
964C2×C42C2414yes—
965C2×C42C2414yes—
966C2×C42C2414yes—
967C2×C42C2414yes—
968C2×C42C2414yes—
969C2×C42C2414yes—
970C2×C42C2414yes—
971C2×C42C2414yes—
972C2×C42C2414yes—
973C2×C42C2414yes—
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—
1000C24—22no—
1001C24—22no—
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—22no—
1037C24—22no—
1038C24—22no—
1039C24—22no—
1040C24—22no—
1041C24—22no—
1042C24—22no—
1043C24—22no—
1044C24—22no—
1045C24—22no—
1046C24—28no—
1047C24—28no—
1048C24—44no—
1049C24—44no—
1050C24—44no—
1051C24—44no—
1052C24—44no—
1053C24—416no—
1054C24—416no—
1055C24—88no—
1056C24—88no—
1057C24—88no—
1058C24—88no—
1059C24—88no—
1060C24C22×D414yes—
1061C24C2×#4114yes—
1062C24C2×#4114yes—
1063C24C2512yes—
1064C24C2512yes—
1065C24C2512yes—
1066C24C2512yes—
1067C24C2512yes—
1068C24C2512yes—
1069C24C2512yes—
1070C24C2511yescharacteristic
1071C2×Q8—28no—
1072C2×Q8—44no—
1073C2×Q8—44no—
1074C2×Q8—88no—
1075C2×D4—28no—
1076C2×D4—28no—
1077C2×D4—28no—
1078C2×D4—28no—
1079C2×D4—28no—
1080C2×D4—28no—
1081C2×D4—28no—
1082C2×D4—28no—
1083C2×D4—28no—
1084C2×D4—28no—
1085C2×D4—28no—
1086C2×D4—28no—
1087C2×D4—28no—
1088C2×D4—28no—
1089C2×D4—28no—
1090C2×D4—28no—
1091C2×D4—28no—
1092C2×D4—28no—
1093C2×D4—28no—
1094C2×D4—28no—
1095C2×D4—28no—
1096C2×D4—44no—
1097C2×D4—44no—
1098C2×D4—416no—
1099C2×D4—44no—
1100C2×D4—44no—
1101C2×D4—44no—
1102C2×D4—44no—
1103C2×D4—44no—
1104C2×D4—44no—
1105C2×D4—44no—
1106C2×D4—44no—
1107C2×D4—44no—
1108C2×D4—44no—
1109C2×D4—44no—
1110C2×D4—44no—
1111C2×D4—416no—
1112C2×D4—416no—
1113C2×D4—416no—
1114C2×D4—416no—
1115C2×D4—416no—
1116C2×D4—416no—
1117C2×D4—416no—
1118C2×D4—44no—
1119C2×D4—44no—
1120C2×D4—44no—
1121C2×D4—44no—
1122C2×D4—44no—
1123C2×D4—44no—
1124C2×D4—44no—
1125C2×D4—44no—
1126C2×D4—44no—
1127C2×D4—44no—
1128C2×D4—44no—
1129C2×D4—44no—
1130C2×D4—44no—
1131C2×D4—44no—
1132C2×D4—44no—
1133C2×D4—44no—
1134C2×D4—44no—
1135C2×D4—44no—
1136C2×D4—416no—
1137C2×D4—416no—
1138C2×D4—88no—
1139C2×D4—88no—
1140C2×D4—88no—
1141C2×D4—88no—
1142C2×D4—88no—
1143C2×D4—88no—
1144C2×D4—88no—
1145C2×D4—88no—
1146C2×D4C2×#41116yes—
1147C22×C4—22no—
1148C22×C4—22no—
1149C22×C4—22no—
1150C22×C4—22no—
1151C22×C4—22no—
1152C22×C4—22no—
1153C22×C4—22no—
1154C22×C4—22no—
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—22no—
1177C22×C4—22no—
1178C22×C4—22no—
1179C22×C4—28no—
1180C22×C4—22no—
1181C22×C4—22no—
1182C22×C4—22no—
1183C22×C4—22no—
1184C22×C4—22no—
1185C22×C4—22no—
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—22no—
1207C22×C4—22no—
1208C22×C4—22no—
1209C22×C4—22no—
1210C22×C4—22no—
1211C22×C4—28no—
1212C22×C4—28no—
1213C22×C4—28no—
1214C22×C4—28no—
1215C22×C4—28no—
1216C22×C4—28no—
1217C22×C4—28no—
1218C22×C4—28no—
1219C22×C4—28no—
1220C22×C4—416no—
1221C22×C4—44no—
1222C22×C4—44no—
1223C22×C4—44no—
1224C22×C4—44no—
1225C22×C4—44no—
1226C22×C4—44no—
1227C22×C4—44no—
1228C22×C4—44no—
1229C22×C4—44no—
1230C22×C4—44no—
1231C22×C4—44no—
1232C22×C4—44no—
1233C22×C4—44no—
1234C22×C4—44no—
1235C22×C4—44no—
1236C22×C4—44no—
1237C22×C4—44no—
1238C22×C4—44no—
1239C22×C4—44no—
1240C22×C4—416no—
1241C22×C4—416no—
1242C22×C4—88no—
1243C22×C4—88no—
1244C22×C4—88no—
1245C22×C4—88no—
1246C22×C4—88no—
1247C22×C4—88no—
1248C22×C4—88no—
1249C22×C4C22×D414yes—
1250C22×C4C22×D414yes—
1251C22×C4C22×D414yes—
1252C22×C4C22×D414yes—
1253C22×C4C22×D414yes—
1254C22×C4C22×D414yes—
1255C22×C4C22×D4116yes—
1256C22×C4C2×#4114yes—
1257C22×C4H(5,𝔽2)14yes—
1258C22×C4H(5,𝔽2)14yes—
1259C22×C4C2512yes—
1260C22×C4C2512yes—
1261C22×C4C2512yes—
1262C22×C4C2512yes—
1263C22×C4C2512yes—
1264C22×C4C2512yes—
1265C22×C4C2512yes—
1266C22×C4C2512yes—
1267C22×C4C2512yes—
1268C22×C4C2512yes—
1269C22×C4C2512yes—
1270C22×C4C2512yes—
1271C22×C4C2512yes—
1272C22×C4C2512yes—
1273C22×C4C2512yes—
1274C22×C4C2512yes—
1275C22×C4C2512yes—
1276C22×C4C2512yes—
1277C22×C4C2512yes—
1278C22×C4C2512yes—
1279C22×C4C2512yes—
1280C22×C4C2512yes—
1281C22×C4C2512yes—
1282C22×C4C2512yes—
1283C4⋊C4—28no—
1284C4⋊C4—28no—
1285C4⋊C4—28no—
1286C4⋊C4—28no—
1287C4⋊C4—28no—
1288C4⋊C4—28no—
1289C4⋊C4—28no—
1290C4⋊C4—28no—
1291C4⋊C4—28no—
1292C4⋊C4—28no—
1293C4⋊C4—28no—
1294C4⋊C4—28no—
1295C4⋊C4—28no—
1296C4⋊C4—28no—
1297C4⋊C4—28no—
1298C4⋊C4—28no—
1299C4⋊C4—28no—
1300C4⋊C4—28no—
1301C4⋊C4—28no—
1302C4⋊C4—28no—
1303C4⋊C4—44no—
1304C4⋊C4—44no—
1305C4⋊C4—44no—
1306C4⋊C4—44no—
1307C4⋊C4—44no—
1308C4⋊C4—44no—
1309C4⋊C4—44no—
1310C4⋊C4—44no—
1311C4⋊C4—44no—
1312C4⋊C4C22×D4116yes—
1313C4⋊C4C22×D4116yes—
1314C22⋊C4—28no—
1315C22⋊C4—28no—
1316C22⋊C4—28no—
1317C22⋊C4—28no—
1318C22⋊C4—28no—
1319C22⋊C4—28no—
1320C22⋊C4—28no—
1321C22⋊C4—28no—
1322C22⋊C4—28no—
1323C22⋊C4—28no—
1324C22⋊C4—28no—
1325C22⋊C4—28no—
1326C22⋊C4—28no—
1327C22⋊C4—28no—
1328C22⋊C4—28no—
1329C22⋊C4—28no—
1330C22⋊C4—28no—
1331C22⋊C4—28no—
1332C22⋊C4—28no—
1333C22⋊C4—28no—
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—44no—
1348C22⋊C4—44no—
1349C22⋊C4—44no—
1350C22⋊C4—44no—
1351C22⋊C4—44no—
1352C22⋊C4—44no—
1353C22⋊C4—44no—
1354C22⋊C4—44no—
1355C22⋊C4—44no—
1356C22⋊C4—44no—
1357C22⋊C4—44no—
1358C22⋊C4—44no—
1359C22⋊C4—44no—
1360C22⋊C4—44no—
1361C22⋊C4—44no—
1362C22⋊C4—44no—
1363C22⋊C4—44no—
1364C22⋊C4—44no—
1365C22⋊C4—44no—
1366C22⋊C4—44no—
1367C22⋊C4—44no—
1368C22⋊C4C22×D4116yes—
1369C22⋊C4C22×D4116yes—
1370C42—28no—
1371C42—28no—
1372C42—28no—
1373C42—28no—
1374C42—28no—
1375C42—44no—
1376C42—44no—
1377C42—44no—
1378C42—44no—
1379C42—44no—
1380C42C22×D4116yes—
1381C42C22×D4116yes—
1382C23—22no—
1383C23—22no—
1384C23—22no—
1385C23—22no—
1386C23—22no—
1387C23—22no—
1388C23—22no—
1389C23—22no—
1390C23—22no—
1391C23—22no—
1392C23—22no—
1393C23—22no—
1394C23—22no—
1395C23—22no—
1396C23—22no—
1397C23—22no—
1398C23—22no—
1399C23—22no—
1400C23—28no—
1401C23—28no—
1402C23—28no—
1403C23—28no—
1404C23—28no—
1405C23—28no—
1406C23—28no—
1407C23—28no—
1408C23—28no—
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—416no—
1438C23—416no—
1439C23—44no—
1440C23—44no—
1441C23—44no—
1442C23—44no—
1443C23—44no—
1444C23—44no—
1445C23—44no—
1446C23—44no—
1447C23—44no—
1448C23—44no—
1449C23—44no—
1450C23—44no—
1451C23—44no—
1452C23—44no—
1453C23—44no—
1454C23—44no—
1455C23—44no—
1456C23—44no—
1457C23—44no—
1458C23—44no—
1459C23—44no—
1460C23—44no—
1461C23—44no—
1462C23—44no—
1463C23—44no—
1464C23—44no—
1465C23—44no—
1466C23—44no—
1467C23—44no—
1468C23—44no—
1469C23—44no—
1470C23—44no—
1471C23—44no—
1472C23—44no—
1473C23—44no—
1474C23—44no—
1475C23—44no—
1476C23—44no—
1477C23—44no—
1478C23—44no—
1479C23—88no—
1480C23—88no—
1481C23—88no—
1482C23—88no—
1483C23—88no—
1484C23—864no—
1485C23C23×D414yes—
1486C23C23×D412yes—
1487C23C22×#4114yes—
1488C23C22×#4114yes—
1489C23C22×#4112yes—
1490C23C2×H(5,𝔽2)12yes—
1491C23C2×H(5,𝔽2)12yes—
1492C23#58512yes—
1493C23#58512yes—
1494C23#58512yes—
1495C23C2611yescharacteristic
1496Q8—88no—
1497D4—416no—
1498D4—416no—
1499D4—416no—
1500D4—416no—
1501D4—416no—
1502D4—416no—
1503D4—416no—
1504D4—416no—
1505D4—416no—
1506D4—416no—
1507D4—88no—
1508D4—88no—
1509D4—88no—
1510D4—88no—
1511D4—88no—
1512D4—88no—
1513D4—88no—
1514D4—88no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—28no—
1534C2×C4—28no—
1535C2×C4—28no—
1536C2×C4—28no—
1537C2×C4—28no—
1538C2×C4—28no—
1539C2×C4—28no—
1540C2×C4—28no—
1541C2×C4—28no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—22no—
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—416no—
1588C2×C4—416no—
1589C2×C4—416no—
1590C2×C4—44no—
1591C2×C4—44no—
1592C2×C4—44no—
1593C2×C4—44no—
1594C2×C4—44no—
1595C2×C4—44no—
1596C2×C4—44no—
1597C2×C4—44no—
1598C2×C4—44no—
1599C2×C4—44no—
1600C2×C4—44no—
1601C2×C4—44no—
1602C2×C4—44no—
1603C2×C4—44no—
1604C2×C4—44no—
1605C2×C4—88no—
1606C2×C4—88no—
1607C2×C4—88no—
1608C2×C4—88no—
1609C2×C4—88no—
1610C2×C4—88no—
1611C2×C4—88no—
1612C2×C4C23×D414yes—
1613C2×C4C23×D414yes—
1614C2×C4C23×D414yes—
1615C2×C4C23×D414yes—
1616C2×C4C23×D414yes—
1617C2×C4C23×D414yes—
1618C2×C4C22×#4114yes—
1619C2×C4C2×H(5,𝔽2)14yes—
1620C2×C4C2×H(5,𝔽2)14yes—
1621C22—24no—
1622C22—24no—
1623C22—24no—
1624C22—24no—
1625C22—24no—
1626C22—24no—
1627C22—24no—
1628C22—24no—
1629C22—24no—
1630C22—416no—
1631C22—416no—
1632C22—416no—
1633C22—42no—
1634C22—42no—
1635C22—42no—
1636C22—42no—
1637C22—42no—
1638C22—42no—
1639C22—42no—
1640C22—42no—
1641C22—42no—
1642C22—42no—
1643C22—42no—
1644C22—42no—
1645C22—42no—
1646C22—42no—
1647C22—42no—
1648C22—42no—
1649C22—42no—
1650C22—42no—
1651C22—42no—
1652C22—42no—
1653C22—42no—
1654C22—42no—
1655C22—42no—
1656C22—42no—
1657C22—42no—
1658C22—42no—
1659C22—42no—
1660C22—42no—
1661C22—42no—
1662C22—42no—
1663C22—42no—
1664C22—42no—
1665C22—42no—
1666C22—42no—
1667C22—42no—
1668C22—42no—
1669C22—42no—
1670C22—42no—
1671C22—42no—
1672C22—42no—
1673C22—832no—
1674C22—88no—
1675C22—88no—
1676C22—88no—
1677C22—88no—
1678C22#344914yes—
1679C22D4×#4114yes—
1680C22#349814yes—
1681C22#350514yes—
1682C22#351314yes—
1683C22#356014yes—
1684C22#356214yes—
1685C22C24×D411yescharacteristic
1686C22C23×#4111yescharacteristic
1687C22C22×H(5,𝔽2)11yescharacteristic
1688C22C22×H(5,𝔽2)11yescharacteristic
1689C22C2×#58511yescharacteristic
1690C22C2×#58511yescharacteristic
1691C22C2×#58511yescharacteristic
1692C4—24no—
1693C4—24no—
1694C4—24no—
1695C4—24no—
1696C4—24no—
1697C4—24no—
1698C4—24no—
1699C4—24no—
1700C4—24no—
1701C4—42no—
1702C4—42no—
1703C4—42no—
1704C4—42no—
1705C4—42no—
1706C4—42no—
1707C4—42no—
1708C4—42no—
1709C4—42no—
1710C4—42no—
1711C4—42no—
1712C4—42no—
1713C4—42no—
1714C4—42no—
1715C4—42no—
1716C2—44no—
1717C2—44no—
1718C2—44no—
1719C2—82no—
1720C2—82no—
1721C2—82no—
1722C2—82no—
1723C2#3994418yesdirect product factor
1724C2C2×#344911yescharacteristic
1725C2C2×D4×#4111yescharacteristic
1726C2C2×#356011yescharacteristic
1727C2C2×#356211yescharacteristic
1728C2C2×#350511yescharacteristic
1729C2C2×#351311yescharacteristic
1730C2C2×#349811yescharacteristic
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×#553C2semidirect
2. C22×#551C2semidirect
3. C2×#2721C2semidirect
4. C2×#2714C2semidirect
5. C2×#2694C2semidirect
6. C2×#2681C2semidirect
7. C2×#2680C2semidirect
8. C2×#2678C2semidirect
9. C2×#2673C2semidirect
10. C2×#2669C2semidirect
11. #39944C2direct (N × H)
12. C2×#2860C2semidirect
13. C2×#2602C2semidirect
14. C2×#2540C2semidirect
15. C2×#2601C2semidirect
16. C2×#2603C2semidirect
17. C2×#2603C2semidirect
18. C2×#2539C2semidirect
19. C2×#2463C2semidirect
20. C2×#2456C2semidirect
21. C2×#2456C2semidirect
22. C2×#2455C2semidirect
23. C2×#2449C2semidirect
24. C2×#2424C2semidirect
25. C2×#2443C2semidirect
26. C2×#2418C2semidirect
27. C2×#2662C2semidirect
28. C2×#2661C2semidirect
29. C2×#2324C2semidirect
30. C2×#2321C2semidirect
31. C2×C4×#127C2semidirect
32. C2×#2298C2semidirect
34. C2×#553C22semidirect
36. C2×#551C22semidirect
40. C22×#126C22semidirect
41. C22×#126C22semidirect
42. C22×#125C22semidirect
53. C22×C22⋊Q8C22semidirect
54. C22×C22⋊Q8C22semidirect
61. C22×#121C22semidirect
71. C22×C4×D4C22semidirect
72. C22×C4×D4C22semidirect
73. C22×C4×D4C22semidirect
74. C22×C4×D4C22semidirect
75. C22×C4×D4C22semidirect
78. C23×C4⋊C4C22semidirect
81. #2860C22semidirect
82. #2721C22semidirect
83. #2714C22semidirect
84. #2694C22semidirect
85. #2681C22semidirect
86. #2680C22semidirect
87. #2678C22semidirect
88. #2673C22semidirect
89. #2669C22semidirect
90. #2662C22semidirect
91. #2661C22semidirect
92. #2603C22semidirect
93. #2603C22semidirect
94. #2602C22semidirect
95. #2601C22semidirect
96. #2540C22semidirect
97. #2539C22semidirect
98. #2463C22semidirect
99. #2456C22semidirect
100. #2456C22semidirect
101. #2455C22semidirect
102. #2449C22semidirect
103. #2443C22semidirect
104. #2424C22semidirect
105. #2418C22semidirect
109. C2×#399C22semidirect
110. C2×#398C22semidirect
111. C2×#398C22semidirect
112. C2×#398C22semidirect
113. C2×#398C22semidirect
116. C2×#397C22semidirect
117. C2×#397C22semidirect
120. C2×#396C22semidirect
121. C2×#396C22semidirect
122. C2×#395C22semidirect
131. C2×#394C22semidirect
132. C2×#394C22semidirect
133. C2×#394C22semidirect
134. C2×#393C22semidirect
144. C2×#392C22semidirect
145. C2×#392C22semidirect
146. #2324C22semidirect
147. #2321C22semidirect
148. C4×#127C22semidirect
149. #2298C22semidirect
159. C2×#390C22semidirect
160. C2×#390C22semidirect
161. C2×#390C22semidirect
162. C2×#390C22semidirect
163. C2×#390C22semidirect
164. C2×#389C22semidirect
165. C2×#389C22semidirect
166. C2×#389C22semidirect
167. C2×#389C22semidirect
178. C2×#388C22semidirect
179. C2×#388C22semidirect
180. C2×#388C22semidirect
181. C2×#388C22semidirect
182. C2×#388C22semidirect
183. C2×#388C22semidirect
184. C2×#388C22semidirect
185. C2×#388C22semidirect
186. C2×#387C22semidirect
187. C2×#387C22semidirect
188. C2×#387C22semidirect
189. C2×#387C22semidirect
190. C2×#387C22semidirect
191. C2×#387C22semidirect
201. C2×#386C22semidirect
202. C2×#386C22semidirect
206. C2×#385C22semidirect
207. C2×#385C22semidirect
208. C2×#385C22semidirect
209. C2×#385C22semidirect
210. C2×#385C22semidirect
211. C2×#385C22semidirect
212. C2×#384C22semidirect
215. C2×C4×C4⋊C4C22semidirect
216. C2×C4×C4⋊C4C22semidirect
219. C2×#376C22semidirect
220. C2×C43C22semidirect
261. C2×#126C23semidirect
262. C2×#126C23semidirect
264. C2×#125C23semidirect
287. C2×C22⋊Q8C23semidirect
288. C2×C22⋊Q8C23semidirect
302. C2×#121C23semidirect
326. C2×C4×D4C23semidirect
327. C2×C4×D4C23semidirect
328. C2×C4×D4C23semidirect
329. C2×C4×D4C23semidirect
330. C2×C4×D4C23semidirect
332. C2×#117D4semidirect
367. C22×C4⋊C4C23semidirect
443. #399C23semidirect
444. #398C23semidirect
445. #398C23semidirect
446. #398C23semidirect
447. #398C23semidirect
450. #397C23semidirect
451. #397C23semidirect
454. #396C23semidirect
455. #396C23semidirect
456. #395C23semidirect
465. #394C23semidirect
466. #394C23semidirect
467. #394C23semidirect
468. #393C23semidirect
478. #392C23semidirect
479. #392C23semidirect
489. #390C23semidirect
490. #390C23semidirect
491. #390C23semidirect
492. #390C23semidirect
493. #390C23semidirect
494. #389C23semidirect
495. #389C23semidirect
496. #389C23semidirect
497. #389C23semidirect
508. #388C23semidirect
509. #388C23semidirect
510. #388C23semidirect
511. #388C23semidirect
512. #388C23semidirect
513. #388C23semidirect
514. #388C23semidirect
515. #388C23semidirect
516. #387C23semidirect
517. #387C23semidirect
518. #387C23semidirect
519. #387C23semidirect
520. #387C23semidirect
521. #387C23semidirect
531. #386C23semidirect
532. #386C23semidirect
536. #385C23semidirect
537. #385C23semidirect
538. #385C23semidirect
539. #385C23semidirect
540. #385C23semidirect
541. #385C23semidirect
542. #384C23semidirect
545. C4×C4⋊C4C23semidirect
546. C4×C4⋊C4C23semidirect
549. #376C23semidirect
576. C43C23semidirect
772. #117C2×D4semidirect
1723. C2#39944direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#5532
C22×#5512
C2×#27212
C2×#27142
C2×#26942
C2×#26812
C2×#26802
C2×#26782
C2×#26732
C2×#26692
#399442
C2×#28602
C2×#26022
C2×#25402
C2×#26012
C2×#26032
C2×#25392
C2×#24632
C2×#24562
C2×#24552
C2×#24492
C2×#24242
C2×#24432
C2×#24182
C2×#26622
C2×#26612
C2×#23242
C2×#23212
C2×C4×#1272
C2×#22982