Finite Group Databasebeta

← C2×#39440 #7636612

Subgroups — C2×#39440 #7636612

Order 512.

8736 conjugacy classes of subgroups.

The subgroup lattice has 1736 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#540C211yesmaximal, characteristic, complemented
2C22×#538C211yesmaximal, characteristic, complemented
3C2×#2717C211yesmaximal, characteristic, complemented
4C2×#2705C211yesmaximal, characteristic, complemented
5C2×#2704C211yesmaximal, characteristic, complemented
6C2×#2701C211yesmaximal, characteristic, complemented
7C2×#2678C211yesmaximal, characteristic, complemented
8C2×#2671C211yesmaximal, characteristic, complemented
9C2×#2671C211yesmaximal, characteristic, complemented
10C2×#2669C211yesmaximal, characteristic, complemented
11#39440C2132yesmaximal, direct product factor
12C2×#2854C211yesmaximal, characteristic, complemented
13C2×#2544C211yesmaximal, characteristic, complemented
14C2×#2535C211yesmaximal, characteristic, complemented
15C2×#2555C211yesmaximal, characteristic, complemented
16C2×#2553C211yesmaximal, characteristic, complemented
17C2×#2543C211yesmaximal, characteristic, complemented
18C2×#2534C211yesmaximal, characteristic, complemented
19C2×#2519C211yesmaximal, characteristic, complemented
20C2×#2474C211yesmaximal, characteristic, complemented
21C2×#2468C211yesmaximal, characteristic, complemented
22C2×#2461C211yesmaximal, characteristic, complemented
23C2×#2425C211yesmaximal, characteristic, complemented
24C2×#2456C211yesmaximal, characteristic, complemented
25C2×#2424C211yesmaximal, characteristic, complemented
26C2×#2418C211yesmaximal, characteristic, complemented
27C2×#2630C211yesmaximal, characteristic, complemented
28C2×#2630C211yesmaximal, characteristic, complemented
29C2×#2359C211yesmaximal, characteristic, complemented
30C2×#2358C211yesmaximal, characteristic, complemented
31C2×C4×#121C211yesmaximal, characteristic, complemented
32C2×C4×#121C211yesmaximal, characteristic, complemented
33C2×#540—216no—
34C2×#540C22116yescomplemented
35C2×#538—216no—
36C2×#538C22116yescomplemented
37C22×#127C2211yescharacteristic
38C22×#126C2211yescharacteristic
39C22×#126C2211yescharacteristic
40C22×#125C2211yescharacteristic, complemented
41C22×#124C2211yescharacteristic
42C22×#124C2211yescharacteristic
43C22×#124C2211yescharacteristic, complemented
44C22×#123C2211yescharacteristic
45C22×#123C2211yescharacteristic
46C22×#123C2211yescharacteristic
47C22×#123C2211yescharacteristic
48C22×#123C2211yescharacteristic
49C22×#123C2211yescharacteristic, complemented
50C22×#123C2211yescharacteristic, complemented
51C22×#123C2211yescharacteristic, complemented
52C22×C22⋊Q8C2211yescharacteristic
53C22×#121C2211yescharacteristic
54C22×#121C2211yescharacteristic
55C22×#121C2211yescharacteristic
56C22×#121C2211yescharacteristic
57C22×#121C2211yescharacteristic
58C22×#121C2211yescharacteristic
59C22×#121C2211yescharacteristic
60C22×#121C2211yescharacteristic
61C22×#121C2211yescharacteristic, complemented
62C22×#121C2211yescharacteristic, complemented
63C22×#121C2211yescharacteristic, complemented
64C22×#120C2211yescharacteristic
65C22×#120C2211yescharacteristic
66C22×#120C2211yescharacteristic
67C22×#120C2211yescharacteristic
68C22×C4×D4C2211yescharacteristic
69C22×C4×D4C2211yescharacteristic
70C22×C4×D4C2211yescharacteristic
71C22×C4×D4C2211yescharacteristic
72C22×C4×D4C2211yescharacteristic
73C22×C4×D4C2211yescharacteristic
74C22×C4×D4C2211yescharacteristic
75C22×C4×D4C2211yescharacteristic, complemented
76C22×C4×D4C2211yescharacteristic, complemented
77C22×#117C2211yescharacteristic, complemented
78C23×C22⋊C4C2211yescharacteristic
79C23×C22⋊C4C2211yescharacteristic
80C23×C42C2211yescharacteristic, complemented
81#2854C22116yescomplemented
82#2717C22116yescomplemented
83#2705C22116yescomplemented
84#2704C22116yescomplemented
85#2701C22116yescomplemented
86#2678C22116yescomplemented
87#2671C22116yescomplemented
88#2671C22116yescomplemented
89#2669C22116yescomplemented
90#2630C22116yescomplemented
91#2630C22116yescomplemented
92#2555C22116yescomplemented
93#2553C22116yescomplemented
94#2544C22116yescomplemented
95#2543C22116yescomplemented
96#2535C22116yescomplemented
97#2534C22116yescomplemented
98#2519C22116yescomplemented
99#2474C22116yescomplemented
100#2468C22116yescomplemented
101#2461C22116yescomplemented
102#2456C22116yescomplemented
103#2425C22116yescomplemented
104#2424C22116yescomplemented
105#2418C22116yescomplemented
106C2×#399C2211yescharacteristic
107C2×#399C2211yescharacteristic, complemented
108C2×#398C2211yescharacteristic, complemented
109C2×#398C2211yescharacteristic, complemented
110C2×#398C2211yescharacteristic, complemented
111C2×#398C2211yescharacteristic, complemented
112C2×#398C2211yescharacteristic, complemented
113C2×#397C2211yescharacteristic
114C2×#397C2211yescharacteristic
115C2×#397C2211yescharacteristic, complemented
116C2×#397C2211yescharacteristic, complemented
117C2×#397C2211yescharacteristic, complemented
118C2×#396C2211yescharacteristic
119C2×#396C2211yescharacteristic
120C2×#396C2211yescharacteristic
121C2×#396C2211yescharacteristic
122C2×#396C2211yescharacteristic, complemented
123C2×#396C2211yescharacteristic, complemented
124C2×#395C2211yescharacteristic, complemented
125C2×#395C2211yescharacteristic, complemented
126C2×#394C2211yescharacteristic
127C2×#394C2211yescharacteristic
128C2×#394C2211yescharacteristic
129C2×#394C2211yescharacteristic
130C2×#394C2211yescharacteristic
131C2×#394C2211yescharacteristic
132C2×#394C2211yescharacteristic
133C2×#394C2211yescharacteristic
134C2×#394C2211yescharacteristic
135C2×#394C2211yescharacteristic
136C2×#394C2211yescharacteristic, complemented
137C2×#394C2211yescharacteristic, complemented
138C2×#394C2211yescharacteristic, complemented
139C2×#392C2211yescharacteristic
140C2×#392C2211yescharacteristic
141C2×#392C2211yescharacteristic
142C2×#392C2211yescharacteristic
143C2×#392C2211yescharacteristic
144C2×#392C2211yescharacteristic
145C2×#392C2211yescharacteristic
146#2359C22116yescomplemented
147#2358C22116yescomplemented
148C4×#121C22116yescomplemented
149C4×#121C22116yescomplemented
150C2×#391C2211yescharacteristic, complemented
151C2×#390C2211yescharacteristic
152C2×#390C2211yescharacteristic
153C2×#390C2211yescharacteristic
154C2×#390C2211yescharacteristic
155C2×#390C2211yescharacteristic, complemented
156C2×#389C2211yescharacteristic, complemented
157C2×#389C2211yescharacteristic, complemented
158C2×#389C2211yescharacteristic, complemented
159C2×#389C2211yescharacteristic, complemented
160C2×#388C2211yescharacteristic
161C2×#388C2211yescharacteristic
162C2×#388C2211yescharacteristic
163C2×#388C2211yescharacteristic
164C2×#388C2211yescharacteristic
165C2×#388C2211yescharacteristic
166C2×#388C2211yescharacteristic
167C2×#388C2211yescharacteristic
168C2×#388C2211yescharacteristic
169C2×#388C2211yescharacteristic
170C2×#388C2211yescharacteristic, complemented
171C2×#388C2211yescharacteristic, complemented
172C2×#388C2211yescharacteristic, complemented
173C2×#388C2211yescharacteristic, complemented
174C2×#388C2211yescharacteristic, complemented
175C2×#388C2211yescharacteristic, complemented
176C2×#387C2211yescharacteristic, complemented
177C2×#387C2211yescharacteristic, complemented
178C2×#387C2211yescharacteristic, complemented
179C2×#387C2211yescharacteristic, complemented
180C2×#386C2211yescharacteristic
181C2×#386C2211yescharacteristic
182C2×#386C2211yescharacteristic
183C2×#386C2211yescharacteristic
184C2×#386C2211yescharacteristic
185C2×#386C2211yescharacteristic
186C2×#386C2211yescharacteristic
187C2×#386C2211yescharacteristic
188C2×#386C2211yescharacteristic
189C2×#386C2211yescharacteristic
190C2×#386C2211yescharacteristic
191C2×#386C2211yescharacteristic, complemented
192C2×#386C2211yescharacteristic, complemented
193C2×#386C2211yescharacteristic, complemented
194C2×#386C2211yescharacteristic, complemented
195C2×#386C2211yescharacteristic, complemented
196C2×#385C2211yescharacteristic
197C2×#385C2211yescharacteristic
198C2×#385C2211yescharacteristic
199C2×#385C2211yescharacteristic
200C2×#385C2211yescharacteristic, complemented
201C2×#385C2211yescharacteristic, complemented
202C2×#385C2211yescharacteristic, complemented
203C2×#385C2211yescharacteristic, complemented
204C2×#382C2211yescharacteristic, complemented
205C2×#381C2211yescharacteristic
206C2×#380C2211yescharacteristic
207C2×#380C2211yescharacteristic
208C2×#380C2211yescharacteristic, complemented
209C2×#380C2211yescharacteristic, complemented
210C2×#380C2211yescharacteristic, complemented
211C2×#380C2211yescharacteristic, complemented
212C2×#379C2211yescharacteristic
213C2×C4×C4⋊C4C2211yescharacteristic, complemented
214C2×C4×C4⋊C4C2211yescharacteristic, complemented
215C2×C4×C4⋊C4C2211yescharacteristic, complemented
216C2×C4×C22⋊C4C2211yescharacteristic
217C2×C4×C22⋊C4C2211yescharacteristic
218C2×C4×C22⋊C4C2211yescharacteristic, complemented
219C2×C4×C22⋊C4C2211yescharacteristic, complemented
220C22×#95C2211yescharacteristic, 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
251C24×C4C2311yescharacteristic
252C24×C4C2311yescharacteristic
253#540—2128no—
254#538—2128no—
255C2×#127—28no—
256C2×#127C2318yes—
257C2×#126—28no—
258C2×#126—28no—
259C2×#126C2318yes—
260C2×#126C2318yes—
261C2×#125—28no—
262C2×#125C2318yescomplemented
263C2×#124—28no—
264C2×#124—28no—
265C2×#124—44no—
266C2×#124C2318yes—
267C2×#124C2318yes—
268C2×#124C2318yescomplemented
269C2×#123—28no—
270C2×#123—28no—
271C2×#123—28no—
272C2×#123—28no—
273C2×#123—28no—
274C2×#123—28no—
275C2×#123—28no—
276C2×#123—44no—
277C2×#123C2318yes—
278C2×#123C2318yes—
279C2×#123C2318yes—
280C2×#123C2318yes—
281C2×#123C2318yes—
282C2×#123C2318yescomplemented
283C2×#123C2318yescomplemented
284C2×#123C2318yescomplemented
285C2×C22⋊Q8—28no—
286C2×C22⋊Q8C2318yes—
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—44no—
296C2×#121—44no—
297C2×#121D4116yescomplemented
298C2×#121C2318yes—
299C2×#121C2318yes—
300C2×#121C2318yes—
301C2×#121C2318yes—
302C2×#121C2318yes—
303C2×#121C2318yes—
304C2×#121C2318yes—
305C2×#121C2318yes—
306C2×#121C2318yescomplemented
307C2×#121C2318yescomplemented
308C2×#121C2318yescomplemented
309C2×#120—28no—
310C2×#120—28no—
311C2×#120—28no—
312C2×#120—44no—
313C2×#120C2318yes—
314C2×#120C2318yes—
315C2×#120C2318yes—
316C2×#120C2318yes—
317C2×C4×D4—28no—
318C2×C4×D4—28no—
319C2×C4×D4—28no—
320C2×C4×D4—28no—
321C2×C4×D4—44no—
322C2×C4×D4—44no—
323C2×C4×D4—44no—
324C2×C4×D4—44no—
325C2×C4×D4—44no—
326C2×C4×D4C2318yes—
327C2×C4×D4C2318yes—
328C2×C4×D4C2318yes—
329C2×C4×D4C2318yes—
330C2×C4×D4C2318yes—
331C2×C4×D4C2318yes—
332C2×C4×D4C2318yes—
333C2×C4×D4C2318yescomplemented
334C2×C4×D4C2318yescomplemented
335C2×#117—28no—
336C2×#117C2318yescomplemented
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×C22⋊C4—28no—
367C22×C22⋊C4—44no—
368C22×C22⋊C4C2318yes—
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⋊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⋊C4C2318yes—
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×C42—44no—
425C22×C42C2311yescharacteristic
426C22×C42C2311yescharacteristic
427C22×C42C2311yescharacteristic
428C22×C42C2311yescharacteristic
429C22×C42C2311yescharacteristic
430C22×C42C2311yescharacteristic
431C22×C42C2311yescharacteristic
432C22×C42C2311yescharacteristic
433C22×C42C2311yescharacteristic
434C22×C42C2311yescharacteristic
435C22×C42C2318yescomplemented
436#399C2318yes—
437#399C2318yescomplemented
438#398C2318yescomplemented
439#398C2318yescomplemented
440#398C2318yescomplemented
441#398C2318yescomplemented
442#398C2318yescomplemented
443#397C2318yes—
444#397C2318yes—
445#397C2318yescomplemented
446#397C2318yescomplemented
447#397C2318yescomplemented
448#396C2318yes—
449#396C2318yes—
450#396C2318yes—
451#396C2318yes—
452#396C2318yescomplemented
453#396C2318yescomplemented
454#395C2318yescomplemented
455#395C2318yescomplemented
456#394C2318yes—
457#394C2318yes—
458#394C2318yes—
459#394C2318yes—
460#394C2318yes—
461#394C2318yes—
462#394C2318yes—
463#394C2318yes—
464#394C2318yes—
465#394C2318yes—
466#394C2318yescomplemented
467#394C2318yescomplemented
468#394C2318yescomplemented
469#392C2318yes—
470#392C2318yes—
471#392C2318yes—
472#392C2318yes—
473#392C2318yes—
474#392C2318yes—
475#392C2318yes—
476#391C2318yescomplemented
477#390C2318yes—
478#390C2318yes—
479#390C2318yes—
480#390C2318yes—
481#390C2318yescomplemented
482#389C2318yescomplemented
483#389C2318yescomplemented
484#389C2318yescomplemented
485#389C2318yescomplemented
486#388C2318yes—
487#388C2318yes—
488#388C2318yes—
489#388C2318yes—
490#388C2318yes—
491#388C2318yes—
492#388C2318yes—
493#388C2318yes—
494#388C2318yes—
495#388C2318yes—
496#388C2318yescomplemented
497#388C2318yescomplemented
498#388C2318yescomplemented
499#388C2318yescomplemented
500#388C2318yescomplemented
501#388C2318yescomplemented
502#387C2318yescomplemented
503#387C2318yescomplemented
504#387C2318yescomplemented
505#387C2318yescomplemented
506#386C2318yes—
507#386C2318yes—
508#386C2318yes—
509#386C2318yes—
510#386C2318yes—
511#386C2318yes—
512#386C2318yes—
513#386C2318yes—
514#386C2318yes—
515#386C2318yes—
516#386C2318yes—
517#386C2318yescomplemented
518#386C2318yescomplemented
519#386C2318yescomplemented
520#386C2318yescomplemented
521#386C2318yescomplemented
522#385C2318yes—
523#385C2318yes—
524#385C2318yes—
525#385C2318yes—
526#385C2318yescomplemented
527#385C2318yescomplemented
528#385C2318yescomplemented
529#385C2318yescomplemented
530#382C2318yescomplemented
531#381C2318yes—
532#380C2318yes—
533#380C2318yes—
534#380C2318yescomplemented
535#380C2318yescomplemented
536#380C2318yescomplemented
537#380C2318yescomplemented
538#379C2318yes—
539C4×C4⋊C4C2318yescomplemented
540C4×C4⋊C4C2318yescomplemented
541C4×C4⋊C4C2318yescomplemented
542C4×C22⋊C4C2318yes—
543C4×C22⋊C4C2318yes—
544C4×C22⋊C4C2318yescomplemented
545C4×C22⋊C4C2318yescomplemented
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—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—42no—
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×D4C2×D418yes—
648C22×D4C2×D418yes—
649C22×D4C2×D418yes—
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—24no—
679C23×C4—24no—
680C23×C4—24no—
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×C4—42no—
698C23×C4—42no—
699C23×C4—42no—
700C23×C4—42no—
701C23×C4—42no—
702C23×C4—42no—
703C23×C4C2×D418yes—
704C23×C4C2411yescharacteristic
705C23×C4C2411yescharacteristic
706C23×C4C2411yescharacteristic
707C23×C4C2411yescharacteristic
708C23×C4C2411yescharacteristic
709C23×C4C2411yescharacteristic
710C23×C4C2411yescharacteristic
711C23×C4C2411yescharacteristic
712C23×C4C2411yescharacteristic
713C23×C4C2411yescharacteristic
714C23×C4C2411yescharacteristic
715C23×C4C2411yescharacteristic
716C23×C4C2411yescharacteristic
717C23×C4C2411yescharacteristic
718C23×C4C2411yescharacteristic
719C23×C4C2411yescharacteristic
720C23×C4C2414yes—
721C23×C4C2414yes—
722C23×C4C2411yescharacteristic
723C23×C4C2411yescharacteristic
724C23×C4C2411yescharacteristic
725C23×C4C2411yescharacteristic
726C23×C4C2411yescharacteristic
727C23×C4C2411yescharacteristic
728C23×C4C2411yescharacteristic
729C23×C4C2411yescharacteristic
730C23×C4C2414yes—
731C23×C4C2414yes—
732C23×C4C2414yes—
733C23×C4C2414yes—
734C23×C4C2414yes—
735C23×C4C2414yes—
736C23×C4C2414yes—
737C23×C4C2414yes—
738C23×C4C2414yes—
739C23×C4C2414yes—
740#127—232no—
741#126—232no—
742#126—232no—
743#125—232no—
744#124—232no—
745#124—232no—
746#124—416no—
747#123—232no—
748#123—232no—
749#123—232no—
750#123—232no—
751#123—232no—
752#123—232no—
753#123—232no—
754#123—416no—
755C22⋊Q8—232no—
756#121—232no—
757#121—232no—
758#121—232no—
759#121—232no—
760#121—232no—
761#121—232no—
762#121—232no—
763#121—232no—
764#121—416no—
765#121—416no—
766#121C2×D4164yescomplemented
767#120—232no—
768#120—232no—
769#120—232no—
770#120—416no—
771C4×D4—232no—
772C4×D4—232no—
773C4×D4—232no—
774C4×D4—232no—
775C4×D4—416no—
776C4×D4—416no—
777C4×D4—416no—
778C4×D4—416no—
779C4×D4—416no—
780#117—232no—
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—24no—
794C2×C4⋊C4—24no—
795C2×C4⋊C4—24no—
796C2×C4⋊C4—24no—
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⋊C4—42no—
806C2×C4⋊C4—42no—
807C2×C4⋊C4—42no—
808C2×C4⋊C4—42no—
809C2×C4⋊C4C2×D418yes—
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×C4⋊C4C2414yes—
837C2×C4⋊C4C2414yes—
838C2×C4⋊C4C2414yes—
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—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—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—24no—
871C2×C22⋊C4—24no—
872C2×C22⋊C4—232no—
873C2×C22⋊C4—416no—
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⋊C4#4118yes—
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×C42—24no—
950C2×C42—24no—
951C2×C42—24no—
952C2×C42—24no—
953C2×C42—24no—
954C2×C42—24no—
955C2×C42—24no—
956C2×C42—24no—
957C2×C42—416no—
958C2×C42—42no—
959C2×C42—42no—
960C2×C42C2414yes—
961C2×C42C2414yes—
962C2×C42C2414yes—
963C2×C42C2414yes—
964C2×C42C2414yes—
965C2×C42C2414yes—
966C2×C42C2414yes—
967C2×C42C2414yes—
968C2×C42C2414yes—
969C2×C42C2414yes—
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—
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—28no—
1046C24—28no—
1047C24—44no—
1048C24—44no—
1049C24—44no—
1050C24—44no—
1051C24—44no—
1052C24—416no—
1053C24—416no—
1054C24—88no—
1055C24—88no—
1056C24—88no—
1057C24—88no—
1058C24—88no—
1059C24C22×D414yes—
1060C24C22×D414yes—
1061C24C22×D414yes—
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—44no—
1095C2×D4—44no—
1096C2×D4—44no—
1097C2×D4—44no—
1098C2×D4—416no—
1099C2×D4—416no—
1100C2×D4—416no—
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—416no—
1111C2×D4—416no—
1112C2×D4—416no—
1113C2×D4—44no—
1114C2×D4—44no—
1115C2×D4—44no—
1116C2×D4—44no—
1117C2×D4—44no—
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—416no—
1133C2×D4—416no—
1134C2×D4—416no—
1135C2×D4—88no—
1136C2×D4—88no—
1137C2×D4—88no—
1138C2×D4—88no—
1139C2×D4—88no—
1140C2×D4—88no—
1141C2×D4—88no—
1142C2×D4—88no—
1143C2×D4—88no—
1144C2×D4C22×D4116yes—
1145C2×D4C22×D4116yes—
1146C2×D4C22×D4116yes—
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—28no—
1175C22×C4—22no—
1176C22×C4—22no—
1177C22×C4—22no—
1178C22×C4—22no—
1179C22×C4—22no—
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—22no—
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—28no—
1221C22×C4—28no—
1222C22×C4—28no—
1223C22×C4—28no—
1224C22×C4—44no—
1225C22×C4—44no—
1226C22×C4—416no—
1227C22×C4—44no—
1228C22×C4—44no—
1229C22×C4—44no—
1230C22×C4—44no—
1231C22×C4—416no—
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—44no—
1241C22×C4—44no—
1242C22×C4—44no—
1243C22×C4—44no—
1244C22×C4—44no—
1245C22×C4—44no—
1246C22×C4—44no—
1247C22×C4—44no—
1248C22×C4—416no—
1249C22×C4—416no—
1250C22×C4—88no—
1251C22×C4—88no—
1252C22×C4—88no—
1253C22×C4—88no—
1254C22×C4—88no—
1255C22×C4—88no—
1256C22×C4—88no—
1257C22×C4—88no—
1258C22×C4C22×D414yes—
1259C22×C4C22×D414yes—
1260C22×C4C22×D414yes—
1261C22×C4C22×D414yes—
1262C22×C4C22×D4116yes—
1263C22×C4C2×#4114yes—
1264C22×C4C2×#4114yes—
1265C22×C4H(5,𝔽2)14yes—
1266C22×C4H(5,𝔽2)14yes—
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—
1283C22×C4C2512yes—
1284C22×C4C2512yes—
1285C22×C4C2512yes—
1286C22×C4C2512yes—
1287C22×C4C2512yes—
1288C22×C4C2512yes—
1289C22×C4C2512yes—
1290C22×C4C2512yes—
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—28no—
1304C4⋊C4—28no—
1305C4⋊C4—28no—
1306C4⋊C4—28no—
1307C4⋊C4—44no—
1308C4⋊C4—44no—
1309C4⋊C4—44no—
1310C4⋊C4—44no—
1311C4⋊C4—44no—
1312C4⋊C4—44no—
1313C4⋊C4—44no—
1314C4⋊C4—44no—
1315C4⋊C4—44no—
1316C4⋊C4—44no—
1317C4⋊C4—44no—
1318C4⋊C4—44no—
1319C4⋊C4C22×D4116yes—
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—28no—
1348C22⋊C4—28no—
1349C22⋊C4—28no—
1350C22⋊C4—28no—
1351C22⋊C4—28no—
1352C22⋊C4—28no—
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⋊C4—44no—
1369C22⋊C4—44no—
1370C22⋊C4—44no—
1371C22⋊C4C22×D4116yes—
1372C22⋊C4C22×D4116yes—
1373C22⋊C4C2×#41116yes—
1374C42—28no—
1375C42—28no—
1376C42—28no—
1377C42—28no—
1378C42—28no—
1379C42—28no—
1380C42—28no—
1381C42—28no—
1382C42—44no—
1383C42—44no—
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—22no—
1401C23—22no—
1402C23—22no—
1403C23—22no—
1404C23—22no—
1405C23—22no—
1406C23—22no—
1407C23—22no—
1408C23—28no—
1409C23—28no—
1410C23—28no—
1411C23—28no—
1412C23—28no—
1413C23—28no—
1414C23—28no—
1415C23—28no—
1416C23—28no—
1417C23—28no—
1418C23—28no—
1419C23—28no—
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—22no—
1439C23—22no—
1440C23—22no—
1441C23—416no—
1442C23—416no—
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—44no—
1480C23—88no—
1481C23—88no—
1482C23—88no—
1483C23—88no—
1484C23—88no—
1485C23—864no—
1486C23C23×D414yes—
1487C23C23×D414yes—
1488C23C23×D414yes—
1489C23C23×D412yes—
1490C23C22×#4114yes—
1491C23C22×#4112yes—
1492C23C2×H(5,𝔽2)12yes—
1493C23C2×H(5,𝔽2)12yes—
1494C23#58512yes—
1495C23#58512yes—
1496C23#58512yes—
1497C23C2611yescharacteristic
1498Q8—88no—
1499D4—416no—
1500D4—416no—
1501D4—416no—
1502D4—416no—
1503D4—416no—
1504D4—416no—
1505D4—416no—
1506D4—416no—
1507D4—416no—
1508D4—88no—
1509D4—88no—
1510D4—88no—
1511D4—88no—
1512D4—88no—
1513D4—88no—
1514D4—88no—
1515D4—88no—
1516D4—88no—
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—22no—
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—22no—
1588C2×C4—22no—
1589C2×C4—416no—
1590C2×C4—416no—
1591C2×C4—416no—
1592C2×C4—416no—
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—44no—
1606C2×C4—44no—
1607C2×C4—44no—
1608C2×C4—44no—
1609C2×C4—88no—
1610C2×C4—88no—
1611C2×C4—88no—
1612C2×C4—88no—
1613C2×C4—88no—
1614C2×C4—88no—
1615C2×C4—88no—
1616C2×C4—88no—
1617C2×C4C23×D414yes—
1618C2×C4C23×D414yes—
1619C2×C4C23×D414yes—
1620C2×C4C23×D414yes—
1621C2×C4C22×#4114yes—
1622C2×C4C22×#4114yes—
1623C2×C4C2×H(5,𝔽2)14yes—
1624C2×C4C2×H(5,𝔽2)14yes—
1625C22—24no—
1626C22—24no—
1627C22—24no—
1628C22—24no—
1629C22—24no—
1630C22—24no—
1631C22—24no—
1632C22—24no—
1633C22—24no—
1634C22—24no—
1635C22—24no—
1636C22—24no—
1637C22—416no—
1638C22—416no—
1639C22—416no—
1640C22—416no—
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—42no—
1674C22—42no—
1675C22—42no—
1676C22—42no—
1677C22—42no—
1678C22—832no—
1679C22—88no—
1680C22—88no—
1681C22—88no—
1682C22#346014yes—
1683C22D4×#4114yes—
1684C22#349614yes—
1685C22#349614yes—
1686C22#351314yes—
1687C22#354214yes—
1688C22#356614yes—
1689C22C24×D411yescharacteristic
1690C22C23×#4111yescharacteristic
1691C22C22×H(5,𝔽2)11yescharacteristic
1692C22C22×H(5,𝔽2)11yescharacteristic
1693C22C2×#58511yescharacteristic
1694C22C2×#58511yescharacteristic
1695C22C2×#58511yescharacteristic
1696C4—24no—
1697C4—24no—
1698C4—24no—
1699C4—24no—
1700C4—24no—
1701C4—24no—
1702C4—24no—
1703C4—24no—
1704C4—42no—
1705C4—42no—
1706C4—42no—
1707C4—42no—
1708C4—42no—
1709C4—42no—
1710C4—42no—
1711C4—42no—
1712C4—42no—
1713C4—42no—
1714C4—42no—
1715C4—42no—
1716C4—42no—
1717C4—42no—
1718C4—42no—
1719C4—42no—
1720C2—44no—
1721C2—44no—
1722C2—44no—
1723C2—44no—
1724C2—82no—
1725C2—82no—
1726C2—82no—
1727C2#3944018yesdirect product factor
1728C2C2×#346011yescharacteristic
1729C2C2×D4×#4111yescharacteristic
1730C2C2×#354211yescharacteristic
1731C2C2×#356611yescharacteristic
1732C2C2×#349611yescharacteristic
1733C2C2×#349611yescharacteristic
1734C2C2×#351311yescharacteristic
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×#540C2semidirect
2. C22×#538C2semidirect
3. C2×#2717C2semidirect
4. C2×#2705C2semidirect
5. C2×#2704C2semidirect
6. C2×#2701C2semidirect
7. C2×#2678C2semidirect
8. C2×#2671C2semidirect
9. C2×#2671C2semidirect
10. C2×#2669C2semidirect
11. #39440C2direct (N × H)
12. C2×#2854C2semidirect
13. C2×#2544C2semidirect
14. C2×#2535C2semidirect
15. C2×#2555C2semidirect
16. C2×#2553C2semidirect
17. C2×#2543C2semidirect
18. C2×#2534C2semidirect
19. C2×#2519C2semidirect
20. C2×#2474C2semidirect
21. C2×#2468C2semidirect
22. C2×#2461C2semidirect
23. C2×#2425C2semidirect
24. C2×#2456C2semidirect
25. C2×#2424C2semidirect
26. C2×#2418C2semidirect
27. C2×#2630C2semidirect
28. C2×#2630C2semidirect
29. C2×#2359C2semidirect
30. C2×#2358C2semidirect
31. C2×C4×#121C2semidirect
32. C2×C4×#121C2semidirect
34. C2×#540C22semidirect
36. C2×#538C22semidirect
40. C22×#125C22semidirect
43. C22×#124C22semidirect
49. C22×#123C22semidirect
50. C22×#123C22semidirect
51. C22×#123C22semidirect
61. C22×#121C22semidirect
62. C22×#121C22semidirect
63. C22×#121C22semidirect
75. C22×C4×D4C22semidirect
76. C22×C4×D4C22semidirect
77. C22×#117C22semidirect
80. C23×C42C22semidirect
81. #2854C22semidirect
82. #2717C22semidirect
83. #2705C22semidirect
84. #2704C22semidirect
85. #2701C22semidirect
86. #2678C22semidirect
87. #2671C22semidirect
88. #2671C22semidirect
89. #2669C22semidirect
90. #2630C22semidirect
91. #2630C22semidirect
92. #2555C22semidirect
93. #2553C22semidirect
94. #2544C22semidirect
95. #2543C22semidirect
96. #2535C22semidirect
97. #2534C22semidirect
98. #2519C22semidirect
99. #2474C22semidirect
100. #2468C22semidirect
101. #2461C22semidirect
102. #2456C22semidirect
103. #2425C22semidirect
104. #2424C22semidirect
105. #2418C22semidirect
107. C2×#399C22semidirect
108. C2×#398C22semidirect
109. C2×#398C22semidirect
110. C2×#398C22semidirect
111. C2×#398C22semidirect
112. C2×#398C22semidirect
115. C2×#397C22semidirect
116. C2×#397C22semidirect
117. C2×#397C22semidirect
122. C2×#396C22semidirect
123. C2×#396C22semidirect
124. C2×#395C22semidirect
125. C2×#395C22semidirect
136. C2×#394C22semidirect
137. C2×#394C22semidirect
138. C2×#394C22semidirect
146. #2359C22semidirect
147. #2358C22semidirect
148. C4×#121C22semidirect
149. C4×#121C22semidirect
150. C2×#391C22semidirect
155. C2×#390C22semidirect
156. C2×#389C22semidirect
157. C2×#389C22semidirect
158. C2×#389C22semidirect
159. C2×#389C22semidirect
170. C2×#388C22semidirect
171. C2×#388C22semidirect
172. C2×#388C22semidirect
173. C2×#388C22semidirect
174. C2×#388C22semidirect
175. C2×#388C22semidirect
176. C2×#387C22semidirect
177. C2×#387C22semidirect
178. C2×#387C22semidirect
179. C2×#387C22semidirect
191. C2×#386C22semidirect
192. C2×#386C22semidirect
193. C2×#386C22semidirect
194. C2×#386C22semidirect
195. C2×#386C22semidirect
200. C2×#385C22semidirect
201. C2×#385C22semidirect
202. C2×#385C22semidirect
203. C2×#385C22semidirect
204. C2×#382C22semidirect
208. C2×#380C22semidirect
209. C2×#380C22semidirect
210. C2×#380C22semidirect
211. C2×#380C22semidirect
213. C2×C4×C4⋊C4C22semidirect
214. C2×C4×C4⋊C4C22semidirect
215. C2×C4×C4⋊C4C22semidirect
218. C2×C4×C22⋊C4C22semidirect
219. C2×C4×C22⋊C4C22semidirect
220. C22×#95C22semidirect
262. C2×#125C23semidirect
268. C2×#124C23semidirect
282. C2×#123C23semidirect
283. C2×#123C23semidirect
284. C2×#123C23semidirect
297. C2×#121D4semidirect
306. C2×#121C23semidirect
307. C2×#121C23semidirect
308. C2×#121C23semidirect
333. C2×C4×D4C23semidirect
334. C2×C4×D4C23semidirect
336. C2×#117C23semidirect
435. C22×C42C23semidirect
437. #399C23semidirect
438. #398C23semidirect
439. #398C23semidirect
440. #398C23semidirect
441. #398C23semidirect
442. #398C23semidirect
445. #397C23semidirect
446. #397C23semidirect
447. #397C23semidirect
452. #396C23semidirect
453. #396C23semidirect
454. #395C23semidirect
455. #395C23semidirect
466. #394C23semidirect
467. #394C23semidirect
468. #394C23semidirect
476. #391C23semidirect
481. #390C23semidirect
482. #389C23semidirect
483. #389C23semidirect
484. #389C23semidirect
485. #389C23semidirect
496. #388C23semidirect
497. #388C23semidirect
498. #388C23semidirect
499. #388C23semidirect
500. #388C23semidirect
501. #388C23semidirect
502. #387C23semidirect
503. #387C23semidirect
504. #387C23semidirect
505. #387C23semidirect
517. #386C23semidirect
518. #386C23semidirect
519. #386C23semidirect
520. #386C23semidirect
521. #386C23semidirect
526. #385C23semidirect
527. #385C23semidirect
528. #385C23semidirect
529. #385C23semidirect
530. #382C23semidirect
534. #380C23semidirect
535. #380C23semidirect
536. #380C23semidirect
537. #380C23semidirect
539. C4×C4⋊C4C23semidirect
540. C4×C4⋊C4C23semidirect
541. C4×C4⋊C4C23semidirect
544. C4×C22⋊C4C23semidirect
545. C4×C22⋊C4C23semidirect
576. C2×#95C23semidirect
766. #121C2×D4semidirect
1727. C2#39440direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#5402
C22×#5382
C2×#27172
C2×#27052
C2×#27042
C2×#27012
C2×#26782
C2×#26712
C2×#26692
#394402
C2×#28542
C2×#25442
C2×#25352
C2×#25552
C2×#25532
C2×#25432
C2×#25342
C2×#25192
C2×#24742
C2×#24682
C2×#24612
C2×#24252
C2×#24562
C2×#24242
C2×#24182
C2×#26302
C2×#23592
C2×#23582
C2×C4×#1212