Finite Group Databasebeta

← C2×#45462 #7702014

Subgroups — C2×#45462 #7702014

Order 512.

7240 conjugacy classes of subgroups.

The subgroup lattice has 1624 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2781C211yesmaximal, characteristic, complemented
2C2×#2779C211yesmaximal, characteristic, complemented
3C2×#2747C211yesmaximal, characteristic, complemented
4C2×#2743C211yesmaximal, characteristic, complemented
5C2×#2741C211yesmaximal, characteristic, complemented
6C2×#2740C211yesmaximal, characteristic, complemented
7C2×#2708C211yesmaximal, characteristic, complemented
8C2×#2706C211yesmaximal, characteristic, complemented
9C2×#2696C211yesmaximal, characteristic, complemented
10C2×#2686C211yesmaximal, characteristic, complemented
11C2×#2672C211yesmaximal, characteristic, complemented
12C2×#2671C211yesmaximal, characteristic, complemented
13#45462C2132yesmaximal, direct product factor
14C2×#2841C211yesmaximal, characteristic, complemented
15C2×#2813C211yesmaximal, characteristic, complemented
16C2×#2849C211yesmaximal, characteristic, complemented
17C2×#2847C211yesmaximal, characteristic, complemented
18C2×#2591C211yesmaximal, characteristic, complemented
19C2×#2564C211yesmaximal, characteristic, complemented
20C2×#2579C211yesmaximal, characteristic, complemented
21C2×#2543C211yesmaximal, characteristic, complemented
22C2×#2505C211yesmaximal, characteristic, complemented
23C2×#2444C211yesmaximal, characteristic, complemented
24C2×#2472C211yesmaximal, characteristic, complemented
25C2×#2449C211yesmaximal, characteristic, complemented
26C2×#2424C211yesmaximal, characteristic, complemented
27C2×#2424C211yesmaximal, characteristic, complemented
28C2×#2443C211yesmaximal, characteristic, complemented
29C2×#2418C211yesmaximal, characteristic, complemented
30C2×#2377C211yesmaximal, characteristic, complemented
31C2×#2376C211yesmaximal, characteristic, complemented
32C22×#380C211yesmaximal, characteristic, complemented
33C25×C4C2211yescharacteristic
34C22×#124C2211yescharacteristic
35C22×#123C2211yescharacteristic
36C22×#123C2211yescharacteristic
37C22×#123C2211yescharacteristic
38C22×#123C2211yescharacteristic, complemented
39C22×C22⋊Q8C2211yescharacteristic
40C22×C22⋊Q8C2211yescharacteristic, complemented
41C22×#121C2211yescharacteristic
42C22×#121C2211yescharacteristic
43C22×#121C2211yescharacteristic
44C22×#121C2211yescharacteristic
45C22×#121C2211yescharacteristic
46C22×#121C2211yescharacteristic
47C22×#121C2211yescharacteristic
48C22×#120C2211yescharacteristic
49C22×#120C2211yescharacteristic
50C22×#120C2211yescharacteristic
51C22×C4×D4C2211yescharacteristic
52C22×C4×D4C2211yescharacteristic
53C22×C4×D4C2211yescharacteristic
54C23×C4⋊C4C2211yescharacteristic
55C23×C4⋊C4C2211yescharacteristic
56C23×C22⋊C4C2211yescharacteristic
57C23×C22⋊C4C2211yescharacteristic
58#2849C22116yescomplemented
59#2847C22116yescomplemented
60#2841C22116yescomplemented
61#2813C22116yescomplemented
62#2781C22116yescomplemented
63#2779C22116yescomplemented
64#2747C22116yescomplemented
65#2743C22116yescomplemented
66#2741C22116yescomplemented
67#2740C22116yescomplemented
68#2708C22116yescomplemented
69#2706C22116yescomplemented
70#2696C22116yescomplemented
71#2686C22116yescomplemented
72#2672C22116yescomplemented
73#2671C22116yescomplemented
74#2591C22116yescomplemented
75#2579C22116yescomplemented
76#2564C22116yescomplemented
77#2543C22116yescomplemented
78#2505C22116yescomplemented
79#2472C22116yescomplemented
80#2449C22116yescomplemented
81#2444C22116yescomplemented
82#2443C22116yescomplemented
83#2424C22116yescomplemented
84#2424C22116yescomplemented
85#2418C22116yescomplemented
86C2×#400C2211yescharacteristic, complemented
87C2×#400C2211yescharacteristic, complemented
88C2×#400C2211yescharacteristic, complemented
89C2×#400C2211yescharacteristic, complemented
90C2×#400C2211yescharacteristic, complemented
91C2×#400C2211yescharacteristic, complemented
92C2×#400C2211yescharacteristic, complemented
93C2×#399C2211yescharacteristic
94C2×#399C2211yescharacteristic, complemented
95C2×#399C2211yescharacteristic, complemented
96C2×#399C2211yescharacteristic, complemented
97C2×#398C2211yescharacteristic, complemented
98C2×#398C2211yescharacteristic, complemented
99C2×#398C2211yescharacteristic, complemented
100C2×#398C2211yescharacteristic, complemented
101C2×#398C2211yescharacteristic, complemented
102C2×#398C2211yescharacteristic, complemented
103C2×#397C2211yescharacteristic
104C2×#397C2211yescharacteristic
105C2×#397C2211yescharacteristic, complemented
106C2×#397C2211yescharacteristic, complemented
107C2×#397C2211yescharacteristic, complemented
108C2×#397C2211yescharacteristic, complemented
109C2×#396C2211yescharacteristic
110C2×#396C2211yescharacteristic
111C2×#396C2211yescharacteristic, complemented
112C2×#396C2211yescharacteristic, complemented
113C2×#396C2211yescharacteristic, complemented
114C2×#395C2211yescharacteristic, complemented
115C2×#395C2211yescharacteristic, complemented
116C2×#394C2211yescharacteristic
117C2×#394C2211yescharacteristic
118C2×#394C2211yescharacteristic
119C2×#394C2211yescharacteristic
120C2×#394C2211yescharacteristic
121C2×#394C2211yescharacteristic
122C2×#394C2211yescharacteristic
123C2×#394C2211yescharacteristic
124C2×#394C2211yescharacteristic, complemented
125C2×#394C2211yescharacteristic, complemented
126C2×#394C2211yescharacteristic, complemented
127C2×#394C2211yescharacteristic, complemented
128C2×#394C2211yescharacteristic, complemented
129C2×#393C2211yescharacteristic
130C2×#393C2211yescharacteristic, complemented
131C2×#392C2211yescharacteristic
132C2×#392C2211yescharacteristic
133C2×#392C2211yescharacteristic, complemented
134#2377C22116yescomplemented
135#2376C22116yescomplemented
136C2×#390C2211yescharacteristic
137C2×#390C2211yescharacteristic
138C2×#390C2211yescharacteristic
139C2×#389C2211yescharacteristic, complemented
140C2×#389C2211yescharacteristic, complemented
141C2×#388C2211yescharacteristic
142C2×#388C2211yescharacteristic
143C2×#388C2211yescharacteristic
144C2×#388C2211yescharacteristic
145C2×#388C2211yescharacteristic
146C2×#388C2211yescharacteristic
147C2×#388C2211yescharacteristic, complemented
148C2×#388C2211yescharacteristic, complemented
149C2×#388C2211yescharacteristic, complemented
150C2×#388C2211yescharacteristic, complemented
151C2×#388C2211yescharacteristic, complemented
152C2×#388C2211yescharacteristic, complemented
153C2×#388C2211yescharacteristic, complemented
154C2×#388C2211yescharacteristic, complemented
155C2×#387C2211yescharacteristic, complemented
156C2×#387C2211yescharacteristic, complemented
157C2×#387C2211yescharacteristic, complemented
158C2×#387C2211yescharacteristic, complemented
159C2×#387C2211yescharacteristic, complemented
160C2×#387C2211yescharacteristic, complemented
161C2×#387C2211yescharacteristic, complemented
162C2×#387C2211yescharacteristic, complemented
163C2×#387C2211yescharacteristic, complemented
164C2×#386C2211yescharacteristic
165C2×#386C2211yescharacteristic
166C2×#386C2211yescharacteristic
167C2×#386C2211yescharacteristic
168C2×#386C2211yescharacteristic
169C2×#386C2211yescharacteristic
170C2×#386C2211yescharacteristic
171C2×#386C2211yescharacteristic
172C2×#386C2211yescharacteristic
173C2×#386C2211yescharacteristic
174C2×#386C2211yescharacteristic
175C2×#386C2211yescharacteristic
176C2×#386C2211yescharacteristic
177C2×#386C2211yescharacteristic
178C2×#386C2211yescharacteristic
179C2×#386C2211yescharacteristic
180C2×#386C2211yescharacteristic
181C2×#386C2211yescharacteristic
182C2×#386C2211yescharacteristic, complemented
183C2×#386C2211yescharacteristic, complemented
184C2×#386C2211yescharacteristic, complemented
185C2×#385C2211yescharacteristic
186C2×#385C2211yescharacteristic
187C2×#385C2211yescharacteristic
188C2×#385C2211yescharacteristic
189C2×#385C2211yescharacteristic
190C2×#385C2211yescharacteristic
191C2×#385C2211yescharacteristic
192C2×#385C2211yescharacteristic, complemented
193C2×#385C2211yescharacteristic, complemented
194C2×#385C2211yescharacteristic, complemented
195C2×#385C2211yescharacteristic, complemented
196C2×#385C2211yescharacteristic, complemented
197C2×#385C2211yescharacteristic, complemented
198C2×#382C2211yescharacteristic, complemented
199C2×#381C2211yescharacteristic
200C2×#381C2211yescharacteristic
201C2×#381C2211yescharacteristic, complemented
202C2×#380C2211yescharacteristic
203C2×#380C2211yescharacteristic
204C2×#380C2211yescharacteristic
205C2×#380C2211yescharacteristic
206C2×#380C2211yescharacteristic
207C2×#380C2211yescharacteristic
208C2×#380C2211yescharacteristic
209C2×#380C2211yescharacteristic
210C2×#380C2211yescharacteristic
211C2×#380C2211yescharacteristic
212C2×#380C2211yescharacteristic
213C2×#380C2211yescharacteristic
214C2×#380C22116yescomplemented
215C2×#379C2211yescharacteristic
216C2×C4×C22⋊C4C2211yescharacteristic
217C22×#95C2211yescharacteristic
218C22×#95C2211yescharacteristic
219C26C2311yescharacteristic
220C23×Q8C2311yescharacteristic
221C23×D4C2311yescharacteristic
222C23×D4C2311yescharacteristic
223C23×D4C2311yescharacteristic
224C23×D4C2311yescharacteristic
225C23×D4C2311yescharacteristic
226C23×D4C2311yescharacteristic
227C23×D4C2311yescharacteristic
228C23×D4C2311yescharacteristic
229C23×D4C2311yescharacteristic
230C23×D4C2311yescharacteristic
231C23×D4C2311yescharacteristic
232C23×D4C2311yescharacteristic
233C24×C4—28no—
234C24×C4—44no—
235C24×C4—44no—
236C24×C4C2311yescharacteristic
237C24×C4C2311yescharacteristic
238C24×C4C2311yescharacteristic
239C24×C4C2311yescharacteristic
240C24×C4C2318yes—
241C24×C4C2311yescharacteristic
242C24×C4C2311yescharacteristic
243C24×C4C2311yescharacteristic
244C24×C4C2311yescharacteristic
245C24×C4C2311yescharacteristic
246C24×C4C2311yescharacteristic
247C24×C4C2311yescharacteristic
248C24×C4C2311yescharacteristic
249C24×C4C2311yescharacteristic
250C2×#124—44no—
251C2×#124C2318yes—
252C2×#123—28no—
253C2×#123—44no—
254C2×#123—44no—
255C2×#123—44no—
256C2×#123C2318yes—
257C2×#123C2318yes—
258C2×#123C2318yes—
259C2×#123C2318yescomplemented
260C2×C22⋊Q8—44no—
261C2×C22⋊Q8—44no—
262C2×C22⋊Q8C2318yes—
263C2×C22⋊Q8C2318yescomplemented
264C2×#121—28no—
265C2×#121—44no—
266C2×#121—44no—
267C2×#121—44no—
268C2×#121—44no—
269C2×#121—44no—
270C2×#121—44no—
271C2×#121C2318yes—
272C2×#121C2318yes—
273C2×#121C2318yes—
274C2×#121C2318yes—
275C2×#121C2318yes—
276C2×#121C2318yes—
277C2×#121C2318yes—
278C2×#120—44no—
279C2×#120—44no—
280C2×#120—44no—
281C2×#120C2318yes—
282C2×#120C2318yes—
283C2×#120C2318yes—
284C2×C4×D4—44no—
285C2×C4×D4—44no—
286C2×C4×D4—44no—
287C2×C4×D4C2318yes—
288C2×C4×D4C2318yes—
289C2×C4×D4C2318yes—
290C22×C4⋊C4—44no—
291C22×C4⋊C4—44no—
292C22×C4⋊C4C2311yescharacteristic
293C22×C4⋊C4C2311yescharacteristic
294C22×C4⋊C4C2311yescharacteristic
295C22×C4⋊C4C2311yescharacteristic
296C22×C4⋊C4C2311yescharacteristic
297C22×C4⋊C4C2311yescharacteristic
298C22×C4⋊C4C2318yes—
299C22×C4⋊C4C2311yescharacteristic
300C22×C4⋊C4C2311yescharacteristic
301C22×C4⋊C4C2311yescharacteristic
302C22×C4⋊C4C2311yescharacteristic
303C22×C4⋊C4C2311yescharacteristic
304C22×C4⋊C4C2311yescharacteristic
305C22×C4⋊C4C2311yescharacteristic
306C22×C4⋊C4C2311yescharacteristic
307C22×C4⋊C4C2311yescharacteristic
308C22×C4⋊C4C2311yescharacteristic
309C22×C4⋊C4C2311yescharacteristic
310C22×C4⋊C4C2311yescharacteristic
311C22×C4⋊C4C2311yescharacteristic
312C22×C4⋊C4C2311yescharacteristic
313C22×C4⋊C4C2311yescharacteristic
314C22×C4⋊C4C2311yescharacteristic
315C22×C4⋊C4C2311yescharacteristic
316C22×C4⋊C4C2311yescharacteristic
317C22×C4⋊C4C2311yescharacteristic
318C22×C4⋊C4C2311yescharacteristic
319C22×C4⋊C4C2311yescharacteristic
320C22×C4⋊C4C2311yescharacteristic
321C22×C4⋊C4C2311yescharacteristic
322C22×C4⋊C4C2318yes—
323C22×C4⋊C4C2311yescharacteristic
324C22×C4⋊C4C2311yescharacteristic
325C22×C22⋊C4—44no—
326C22×C22⋊C4—44no—
327C22×C22⋊C4C2311yescharacteristic
328C22×C22⋊C4C2311yescharacteristic
329C22×C22⋊C4C2311yescharacteristic
330C22×C22⋊C4C2311yescharacteristic
331C22×C22⋊C4C2311yescharacteristic
332C22×C22⋊C4C2311yescharacteristic
333C22×C22⋊C4C2311yescharacteristic
334C22×C22⋊C4C2311yescharacteristic
335C22×C22⋊C4C2311yescharacteristic
336C22×C22⋊C4C2311yescharacteristic
337C22×C22⋊C4C2311yescharacteristic
338C22×C22⋊C4C2311yescharacteristic
339C22×C22⋊C4C2311yescharacteristic
340C22×C22⋊C4C2311yescharacteristic
341C22×C22⋊C4C2311yescharacteristic
342C22×C22⋊C4C2311yescharacteristic
343C22×C22⋊C4C2311yescharacteristic
344C22×C22⋊C4C2311yescharacteristic
345C22×C22⋊C4C2311yescharacteristic
346C22×C22⋊C4C2311yescharacteristic
347C22×C22⋊C4C2311yescharacteristic
348C22×C22⋊C4C2311yescharacteristic
349C22×C22⋊C4C2311yescharacteristic
350C22×C22⋊C4C2311yescharacteristic
351C22×C22⋊C4C2311yescharacteristic
352C22×C22⋊C4C2311yescharacteristic
353C22×C22⋊C4C2311yescharacteristic
354C22×C22⋊C4C2311yescharacteristic
355C22×C22⋊C4C2311yescharacteristic
356C22×C22⋊C4C2311yescharacteristic
357C22×C22⋊C4C2311yescharacteristic
358C22×C22⋊C4C2311yescharacteristic
359C22×C22⋊C4C2311yescharacteristic
360C22×C22⋊C4C2311yescharacteristic
361C22×C22⋊C4C2311yescharacteristic
362C22×C22⋊C4C2311yescharacteristic
363C22×C22⋊C4C2311yescharacteristic
364C22×C22⋊C4C2311yescharacteristic
365C22×C22⋊C4C2311yescharacteristic
366C22×C22⋊C4C2311yescharacteristic
367C22×C22⋊C4C2311yescharacteristic
368C22×C22⋊C4C2311yescharacteristic
369C22×C22⋊C4C2311yescharacteristic
370C22×C22⋊C4C2311yescharacteristic
371C22×C22⋊C4C2311yescharacteristic
372C22×C22⋊C4C2311yescharacteristic
373C22×C22⋊C4C2311yescharacteristic
374C22×C22⋊C4C2311yescharacteristic
375C22×C22⋊C4C2318yes—
376C22×C22⋊C4C2318yes—
377C22×C22⋊C4C2311yescharacteristic
378C22×C22⋊C4C2311yescharacteristic
379C22×C42C2311yescharacteristic
380C22×C42C2311yescharacteristic
381C22×C42C2311yescharacteristic
382C22×C42C2311yescharacteristic
383C22×C42C2311yescharacteristic
384#400C2318yescomplemented
385#400C2318yescomplemented
386#400C2318yescomplemented
387#400C2318yescomplemented
388#400C2318yescomplemented
389#400C2318yescomplemented
390#400C2318yescomplemented
391#399C2318yes—
392#399C2318yescomplemented
393#399C2318yescomplemented
394#399C2318yescomplemented
395#398C2318yescomplemented
396#398C2318yescomplemented
397#398C2318yescomplemented
398#398C2318yescomplemented
399#398C2318yescomplemented
400#398C2318yescomplemented
401#397C2318yes—
402#397C2318yes—
403#397C2318yescomplemented
404#397C2318yescomplemented
405#397C2318yescomplemented
406#397C2318yescomplemented
407#396C2318yes—
408#396C2318yes—
409#396C2318yescomplemented
410#396C2318yescomplemented
411#396C2318yescomplemented
412#395C2318yescomplemented
413#395C2318yescomplemented
414#394C2318yes—
415#394C2318yes—
416#394C2318yes—
417#394C2318yes—
418#394C2318yes—
419#394C2318yes—
420#394C2318yes—
421#394C2318yes—
422#394C2318yescomplemented
423#394C2318yescomplemented
424#394C2318yescomplemented
425#394C2318yescomplemented
426#394C2318yescomplemented
427#393C2318yes—
428#393C2318yescomplemented
429#392C2318yes—
430#392C2318yes—
431#392C2318yescomplemented
432#390C2318yes—
433#390C2318yes—
434#390C2318yes—
435#389C2318yescomplemented
436#389C2318yescomplemented
437#388C2318yes—
438#388C2318yes—
439#388C2318yes—
440#388C2318yes—
441#388C2318yes—
442#388C2318yes—
443#388C2318yescomplemented
444#388C2318yescomplemented
445#388C2318yescomplemented
446#388C2318yescomplemented
447#388C2318yescomplemented
448#388C2318yescomplemented
449#388C2318yescomplemented
450#388C2318yescomplemented
451#387C2318yescomplemented
452#387C2318yescomplemented
453#387C2318yescomplemented
454#387C2318yescomplemented
455#387C2318yescomplemented
456#387C2318yescomplemented
457#387C2318yescomplemented
458#387C2318yescomplemented
459#387C2318yescomplemented
460#386C2318yes—
461#386C2318yes—
462#386C2318yes—
463#386C2318yes—
464#386C2318yes—
465#386C2318yes—
466#386C2318yes—
467#386C2318yes—
468#386C2318yes—
469#386C2318yes—
470#386C2318yes—
471#386C2318yes—
472#386C2318yes—
473#386C2318yes—
474#386C2318yes—
475#386C2318yes—
476#386C2318yes—
477#386C2318yes—
478#386C2318yescomplemented
479#386C2318yescomplemented
480#386C2318yescomplemented
481#385C2318yes—
482#385C2318yes—
483#385C2318yes—
484#385C2318yes—
485#385C2318yes—
486#385C2318yes—
487#385C2318yes—
488#385C2318yescomplemented
489#385C2318yescomplemented
490#385C2318yescomplemented
491#385C2318yescomplemented
492#385C2318yescomplemented
493#385C2318yescomplemented
494#382C2318yescomplemented
495#381C2318yes—
496#381C2318yes—
497#381C2318yescomplemented
498#380C2318yes—
499#380C2318yes—
500#380C2318yes—
501#380C2318yes—
502#380C2318yes—
503#380C2318yes—
504#380C2318yes—
505#380C2318yes—
506#380C2318yes—
507#380C2318yes—
508#380C2318yes—
509#380C2318yes—
510#379C2318yes—
511C4×C22⋊C4C2318yes—
512C2×#95C2318yes—
513C2×#95C2311yescharacteristic
514C2×#95C2311yescharacteristic
515C2×#95C2311yescharacteristic
516C2×#95C2311yescharacteristic
517C2×#95C2311yescharacteristic
518C2×#95C2311yescharacteristic
519C2×#95C2311yescharacteristic
520C2×#95C2311yescharacteristic
521C2×#95C2311yescharacteristic
522C2×#95C2311yescharacteristic
523C2×#95C2311yescharacteristic
524C2×#95C2311yescharacteristic
525C2×#95C2311yescharacteristic
526C2×#95C2311yescharacteristic
527C2×#95C2311yescharacteristic
528C2×#95C2311yescharacteristic
529C2×#95C2311yescharacteristic
530C2×#95C2311yescharacteristic
531C2×#95C2311yescharacteristic
532C2×#95C2311yescharacteristic
533C2×#95C2311yescharacteristic
534C2×#95C2311yescharacteristic
535C2×#95C2311yescharacteristic
536C2×#95C2311yescharacteristic
537C2×#95C2311yescharacteristic
538C2×#95C2311yescharacteristic
539C2×#95C2311yescharacteristic
540C2×#95C2311yescharacteristic
541C2×#95C2311yescharacteristic
542C2×#95C2311yescharacteristic
543C2×#95C2311yescharacteristic
544C2×#95C2311yescharacteristic
545C2×#95C2311yescharacteristic
546C2×#95C2311yescharacteristic
547C2×#95C2311yescharacteristic
548C2×#95C2311yescharacteristic
549C2×#95C2311yescharacteristic
550C2×#95C2311yescharacteristic
551C2×#95C2311yescharacteristic
552C2×#95C2311yescharacteristic
553C2×#95C2318yes—
554C2×#95C2311yescharacteristic
555C2×#95C2311yescharacteristic
556C25—24no—
557C25—24no—
558C25—24no—
559C25—24no—
560C25—24no—
561C25—42no—
562C25—42no—
563C25C2411yescharacteristic
564C25C2411yescharacteristic
565C25C2411yescharacteristic
566C25C2411yescharacteristic
567C25C2411yescharacteristic
568C25C2414yes—
569C25C2411yescharacteristic
570C22×Q8—42no—
571C22×Q8—42no—
572C22×Q8—42no—
573C22×Q8C2414yes—
574C22×D4—24no—
575C22×D4—24no—
576C22×D4—24no—
577C22×D4—24no—
578C22×D4—24no—
579C22×D4—24no—
580C22×D4—24no—
581C22×D4—24no—
582C22×D4—24no—
583C22×D4—24no—
584C22×D4—24no—
585C22×D4—24no—
586C22×D4—24no—
587C22×D4—24no—
588C22×D4—24no—
589C22×D4—24no—
590C22×D4—42no—
591C22×D4—42no—
592C22×D4—42no—
593C22×D4—42no—
594C22×D4—42no—
595C22×D4—42no—
596C22×D4—42no—
597C22×D4—42no—
598C22×D4—42no—
599C22×D4—42no—
600C22×D4—42no—
601C22×D4—42no—
602C22×D4—42no—
603C22×D4—42no—
604C22×D4—42no—
605C22×D4—42no—
606C22×D4—42no—
607C22×D4—42no—
608C22×D4—42no—
609C22×D4—42no—
610C22×D4C2414yes—
611C22×D4C2414yes—
612C22×D4C2414yes—
613C22×D4C2414yes—
614C22×D4C2414yes—
615C22×D4C2414yes—
616C22×D4C2414yes—
617C22×D4C2414yes—
618C22×D4C2414yes—
619C22×D4C2414yes—
620C22×D4C2414yes—
621C22×D4C2414yes—
622C23×C4—24no—
623C23×C4—24no—
624C23×C4—24no—
625C23×C4—24no—
626C23×C4—24no—
627C23×C4—24no—
628C23×C4—24no—
629C23×C4—24no—
630C23×C4—24no—
631C23×C4—24no—
632C23×C4—232no—
633C23×C4—24no—
634C23×C4—24no—
635C23×C4—24no—
636C23×C4—24no—
637C23×C4—416no—
638C23×C4—42no—
639C23×C4—42no—
640C23×C4—42no—
641C23×C4—42no—
642C23×C4—42no—
643C23×C4—42no—
644C23×C4—416no—
645C23×C4—42no—
646C23×C4—42no—
647C23×C4—42no—
648C23×C4—42no—
649C23×C4—42no—
650C23×C4—42no—
651C23×C4—42no—
652C23×C4—42no—
653C23×C4—42no—
654C23×C4—42no—
655C23×C4—42no—
656C23×C4—42no—
657C23×C4—42no—
658C23×C4—42no—
659C23×C4—42no—
660C23×C4—42no—
661C23×C4—42no—
662C23×C4—42no—
663C23×C4—464no—
664C23×C4#4118yes—
665C23×C4C2414yes—
666C23×C4C2411yescharacteristic
667C23×C4C2411yescharacteristic
668C23×C4C2411yescharacteristic
669C23×C4C2411yescharacteristic
670C23×C4C2411yescharacteristic
671C23×C4C2411yescharacteristic
672C23×C4C2411yescharacteristic
673C23×C4C2411yescharacteristic
674C23×C4C2411yescharacteristic
675C23×C4C2411yescharacteristic
676C23×C4C2411yescharacteristic
677C23×C4C2411yescharacteristic
678C23×C4C2411yescharacteristic
679C23×C4C2411yescharacteristic
680C23×C4C2411yescharacteristic
681C23×C4C2411yescharacteristic
682C23×C4C2411yescharacteristic
683C23×C4C2411yescharacteristic
684C23×C4C2411yescharacteristic
685C23×C4C2411yescharacteristic
686C23×C4C2411yescharacteristic
687C23×C4C2411yescharacteristic
688C23×C4C2414yes—
689C23×C4C2414yes—
690C23×C4C2414yes—
691C23×C4C2411yescharacteristic
692C23×C4C2411yescharacteristic
693C23×C4C2411yescharacteristic
694C23×C4C2414yes—
695C23×C4C2414yes—
696C23×C4C2414yes—
697C23×C4C2414yes—
698C23×C4C2414yes—
699C23×C4C2414yes—
700C23×C4C2414yes—
701C23×C4C2414yes—
702C23×C4C2414yes—
703#124—416no—
704#123—232no—
705#123—416no—
706#123—416no—
707#123—416no—
708C22⋊Q8—416no—
709C22⋊Q8—416no—
710#121—232no—
711#121—416no—
712#121—416no—
713#121—416no—
714#121—416no—
715#121—416no—
716#121—416no—
717#120—416no—
718#120—416no—
719#120—416no—
720C4×D4—416no—
721C4×D4—416no—
722C4×D4—416no—
723C2×C4⋊C4—24no—
724C2×C4⋊C4—24no—
725C2×C4⋊C4—24no—
726C2×C4⋊C4—24no—
727C2×C4⋊C4—24no—
728C2×C4⋊C4—24no—
729C2×C4⋊C4—416no—
730C2×C4⋊C4—42no—
731C2×C4⋊C4—42no—
732C2×C4⋊C4—42no—
733C2×C4⋊C4—42no—
734C2×C4⋊C4—42no—
735C2×C4⋊C4—42no—
736C2×C4⋊C4—416no—
737C2×C4⋊C4—42no—
738C2×C4⋊C4—42no—
739C2×C4⋊C4—42no—
740C2×C4⋊C4—42no—
741C2×C4⋊C4—42no—
742C2×C4⋊C4—42no—
743C2×C4⋊C4—42no—
744C2×C4⋊C4—42no—
745C2×C4⋊C4—42no—
746C2×C4⋊C4—42no—
747C2×C4⋊C4—42no—
748C2×C4⋊C4—42no—
749C2×C4⋊C4—42no—
750C2×C4⋊C4—42no—
751C2×C4⋊C4—42no—
752C2×C4⋊C4—42no—
753C2×C4⋊C4—42no—
754C2×C4⋊C4—42no—
755C2×C4⋊C4—42no—
756C2×C4⋊C4C2414yes—
757C2×C4⋊C4C2414yes—
758C2×C4⋊C4C2414yes—
759C2×C4⋊C4C2414yes—
760C2×C4⋊C4C2414yes—
761C2×C4⋊C4C2414yes—
762C2×C4⋊C4C2414yes—
763C2×C4⋊C4C2414yes—
764C2×C4⋊C4C2414yes—
765C2×C4⋊C4C2414yes—
766C2×C4⋊C4C2414yes—
767C2×C4⋊C4C2414yes—
768C2×C4⋊C4C2414yes—
769C2×C4⋊C4C2414yes—
770C2×C4⋊C4C2414yes—
771C2×C4⋊C4C2414yes—
772C2×C4⋊C4C2414yes—
773C2×C4⋊C4C2414yes—
774C2×C4⋊C4C2414yes—
775C2×C4⋊C4C2414yes—
776C2×C4⋊C4C2414yes—
777C2×C4⋊C4C2414yes—
778C2×C4⋊C4C2414yes—
779C2×C4⋊C4C2414yes—
780C2×C4⋊C4C2414yes—
781C2×C4⋊C4C2414yes—
782C2×C4⋊C4C2414yes—
783C2×C4⋊C4C2414yes—
784C2×C4⋊C4C2414yes—
785C2×C4⋊C4C2414yes—
786C2×C4⋊C4C2414yes—
787C2×C22⋊C4—24no—
788C2×C22⋊C4—24no—
789C2×C22⋊C4—24no—
790C2×C22⋊C4—24no—
791C2×C22⋊C4—24no—
792C2×C22⋊C4—24no—
793C2×C22⋊C4—24no—
794C2×C22⋊C4—24no—
795C2×C22⋊C4—24no—
796C2×C22⋊C4—24no—
797C2×C22⋊C4—24no—
798C2×C22⋊C4—24no—
799C2×C22⋊C4—24no—
800C2×C22⋊C4—24no—
801C2×C22⋊C4—24no—
802C2×C22⋊C4—24no—
803C2×C22⋊C4—24no—
804C2×C22⋊C4—24no—
805C2×C22⋊C4—416no—
806C2×C22⋊C4—416no—
807C2×C22⋊C4—42no—
808C2×C22⋊C4—42no—
809C2×C22⋊C4—42no—
810C2×C22⋊C4—42no—
811C2×C22⋊C4—42no—
812C2×C22⋊C4—42no—
813C2×C22⋊C4—42no—
814C2×C22⋊C4—42no—
815C2×C22⋊C4—42no—
816C2×C22⋊C4—42no—
817C2×C22⋊C4—42no—
818C2×C22⋊C4—42no—
819C2×C22⋊C4—42no—
820C2×C22⋊C4—42no—
821C2×C22⋊C4—42no—
822C2×C22⋊C4—42no—
823C2×C22⋊C4—42no—
824C2×C22⋊C4—42no—
825C2×C22⋊C4—42no—
826C2×C22⋊C4—42no—
827C2×C22⋊C4—42no—
828C2×C22⋊C4—42no—
829C2×C22⋊C4—42no—
830C2×C22⋊C4—42no—
831C2×C22⋊C4—42no—
832C2×C22⋊C4—42no—
833C2×C22⋊C4—42no—
834C2×C22⋊C4—42no—
835C2×C22⋊C4—42no—
836C2×C22⋊C4—42no—
837C2×C22⋊C4—42no—
838C2×C22⋊C4—42no—
839C2×C22⋊C4C2414yes—
840C2×C22⋊C4C2414yes—
841C2×C22⋊C4C2414yes—
842C2×C22⋊C4C2414yes—
843C2×C22⋊C4C2414yes—
844C2×C22⋊C4C2414yes—
845C2×C22⋊C4C2414yes—
846C2×C22⋊C4C2414yes—
847C2×C22⋊C4C2414yes—
848C2×C22⋊C4C2414yes—
849C2×C22⋊C4C2414yes—
850C2×C22⋊C4C2414yes—
851C2×C22⋊C4C2414yes—
852C2×C22⋊C4C2414yes—
853C2×C22⋊C4C2414yes—
854C2×C22⋊C4C2414yes—
855C2×C22⋊C4C2414yes—
856C2×C22⋊C4C2414yes—
857C2×C22⋊C4C2414yes—
858C2×C22⋊C4C2414yes—
859C2×C22⋊C4C2414yes—
860C2×C22⋊C4C2414yes—
861C2×C22⋊C4C2414yes—
862C2×C22⋊C4C2414yes—
863C2×C22⋊C4C2414yes—
864C2×C22⋊C4C2414yes—
865C2×C22⋊C4C2414yes—
866C2×C22⋊C4C2414yes—
867C2×C22⋊C4C2414yes—
868C2×C22⋊C4C2414yes—
869C2×C22⋊C4C2414yes—
870C2×C22⋊C4C2414yes—
871C2×C22⋊C4C2414yes—
872C2×C22⋊C4C2414yes—
873C2×C22⋊C4C2414yes—
874C2×C22⋊C4C2414yes—
875C2×C22⋊C4C2414yes—
876C2×C22⋊C4C2414yes—
877C2×C22⋊C4C2414yes—
878C2×C22⋊C4C2414yes—
879C2×C22⋊C4C2414yes—
880C2×C22⋊C4C2414yes—
881C2×C22⋊C4C2414yes—
882C2×C22⋊C4C2414yes—
883C2×C22⋊C4C2414yes—
884C2×C22⋊C4C2414yes—
885C2×C22⋊C4C2414yes—
886C2×C22⋊C4C2414yes—
887C2×C22⋊C4C2414yes—
888C2×C22⋊C4C2414yes—
889C2×C42—42no—
890C2×C42—42no—
891C2×C42—42no—
892C2×C42—42no—
893C2×C42—42no—
894C2×C42C2414yes—
895C2×C42C2414yes—
896C2×C42C2414yes—
897C2×C42C2414yes—
898C2×C42C2414yes—
899#95C2414yes—
900#95C2414yes—
901#95C2414yes—
902#95C2414yes—
903#95C2414yes—
904#95C2414yes—
905#95C2414yes—
906#95C2414yes—
907#95C2414yes—
908#95C2414yes—
909#95C2414yes—
910#95C2414yes—
911#95C2414yes—
912#95C2414yes—
913#95C2414yes—
914#95C2414yes—
915#95C2414yes—
916#95C2414yes—
917#95C2414yes—
918#95C2414yes—
919#95C2414yes—
920#95C2414yes—
921#95C2414yes—
922#95C2414yes—
923#95C2414yes—
924#95C2414yes—
925#95C2414yes—
926#95C2414yes—
927#95C2414yes—
928#95C2414yes—
929#95C2414yes—
930#95C2414yes—
931#95C2414yes—
932#95C2414yes—
933#95C2414yes—
934#95C2414yes—
935#95C2414yes—
936#95C2414yes—
937#95C2414yes—
938#95C2414yes—
939#95C2414yes—
940#95C2414yes—
941C24—22no—
942C24—22no—
943C24—22no—
944C24—22no—
945C24—232no—
946C24—28no—
947C24—22no—
948C24—28no—
949C24—22no—
950C24—22no—
951C24—22no—
952C24—22no—
953C24—22no—
954C24—22no—
955C24—22no—
956C24—28no—
957C24—22no—
958C24—22no—
959C24—22no—
960C24—22no—
961C24—22no—
962C24—22no—
963C24—22no—
964C24—22no—
965C24—22no—
966C24—22no—
967C24—22no—
968C24—22no—
969C24—22no—
970C24—22no—
971C24—22no—
972C24—22no—
973C24—22no—
974C24—22no—
975C24—22no—
976C24—28no—
977C24—28no—
978C24—22no—
979C24—22no—
980C24—22no—
981C24—22no—
982C24—22no—
983C24—22no—
984C24—44no—
985C24—44no—
986C24—416no—
987C24—416no—
988C24—416no—
989C24—416no—
990C24—416no—
991C24—416no—
992C24C2×#4114yes—
993C24H(5,𝔽2)14yes—
994C24H(5,𝔽2)14yes—
995C24H(5,𝔽2)14yes—
996C242−1+414yes—
997C24C2512yes—
998C24C2512yes—
999C24C2512yes—
1000C24C2512yes—
1001C24C2512yes—
1002C24C2512yes—
1003C24C2511yescharacteristic
1004C2×Q8—44no—
1005C2×Q8—44no—
1006C2×Q8—44no—
1007C2×Q8—88no—
1008C2×D4—28no—
1009C2×D4—28no—
1010C2×D4—28no—
1011C2×D4—28no—
1012C2×D4—28no—
1013C2×D4—28no—
1014C2×D4—28no—
1015C2×D4—28no—
1016C2×D4—28no—
1017C2×D4—28no—
1018C2×D4—28no—
1019C2×D4—28no—
1020C2×D4—28no—
1021C2×D4—28no—
1022C2×D4—28no—
1023C2×D4—28no—
1024C2×D4—44no—
1025C2×D4—44no—
1026C2×D4—44no—
1027C2×D4—44no—
1028C2×D4—44no—
1029C2×D4—44no—
1030C2×D4—44no—
1031C2×D4—44no—
1032C2×D4—44no—
1033C2×D4—44no—
1034C2×D4—44no—
1035C2×D4—44no—
1036C2×D4—44no—
1037C2×D4—44no—
1038C2×D4—44no—
1039C2×D4—44no—
1040C2×D4—44no—
1041C2×D4—44no—
1042C2×D4—44no—
1043C2×D4—44no—
1044C2×D4—416no—
1045C2×D4—416no—
1046C2×D4—416no—
1047C2×D4—88no—
1048C2×D4—88no—
1049C2×D4—88no—
1050C2×D4—88no—
1051C2×D4—88no—
1052C2×D4—88no—
1053C2×D4—88no—
1054C2×D4—88no—
1055C2×D4—88no—
1056C22×C4—232no—
1057C22×C4—22no—
1058C22×C4—28no—
1059C22×C4—22no—
1060C22×C4—22no—
1061C22×C4—22no—
1062C22×C4—22no—
1063C22×C4—22no—
1064C22×C4—28no—
1065C22×C4—28no—
1066C22×C4—22no—
1067C22×C4—22no—
1068C22×C4—22no—
1069C22×C4—22no—
1070C22×C4—22no—
1071C22×C4—28no—
1072C22×C4—22no—
1073C22×C4—22no—
1074C22×C4—22no—
1075C22×C4—22no—
1076C22×C4—22no—
1077C22×C4—22no—
1078C22×C4—22no—
1079C22×C4—22no—
1080C22×C4—22no—
1081C22×C4—22no—
1082C22×C4—22no—
1083C22×C4—22no—
1084C22×C4—22no—
1085C22×C4—22no—
1086C22×C4—22no—
1087C22×C4—22no—
1088C22×C4—22no—
1089C22×C4—22no—
1090C22×C4—22no—
1091C22×C4—22no—
1092C22×C4—22no—
1093C22×C4—22no—
1094C22×C4—22no—
1095C22×C4—22no—
1096C22×C4—22no—
1097C22×C4—22no—
1098C22×C4—22no—
1099C22×C4—22no—
1100C22×C4—22no—
1101C22×C4—22no—
1102C22×C4—22no—
1103C22×C4—22no—
1104C22×C4—22no—
1105C22×C4—22no—
1106C22×C4—22no—
1107C22×C4—22no—
1108C22×C4—22no—
1109C22×C4—22no—
1110C22×C4—22no—
1111C22×C4—22no—
1112C22×C4—22no—
1113C22×C4—22no—
1114C22×C4—22no—
1115C22×C4—22no—
1116C22×C4—22no—
1117C22×C4—22no—
1118C22×C4—22no—
1119C22×C4—28no—
1120C22×C4—22no—
1121C22×C4—22no—
1122C22×C4—22no—
1123C22×C4—22no—
1124C22×C4—22no—
1125C22×C4—22no—
1126C22×C4—22no—
1127C22×C4—22no—
1128C22×C4—22no—
1129C22×C4—22no—
1130C22×C4—22no—
1131C22×C4—22no—
1132C22×C4—22no—
1133C22×C4—22no—
1134C22×C4—28no—
1135C22×C4—28no—
1136C22×C4—28no—
1137C22×C4—28no—
1138C22×C4—28no—
1139C22×C4—28no—
1140C22×C4—28no—
1141C22×C4—28no—
1142C22×C4—28no—
1143C22×C4—416no—
1144C22×C4—44no—
1145C22×C4—44no—
1146C22×C4—44no—
1147C22×C4—44no—
1148C22×C4—44no—
1149C22×C4—44no—
1150C22×C4—44no—
1151C22×C4—416no—
1152C22×C4—44no—
1153C22×C4—44no—
1154C22×C4—44no—
1155C22×C4—44no—
1156C22×C4—44no—
1157C22×C4—44no—
1158C22×C4—44no—
1159C22×C4—44no—
1160C22×C4—44no—
1161C22×C4—44no—
1162C22×C4—44no—
1163C22×C4—44no—
1164C22×C4—44no—
1165C22×C4—44no—
1166C22×C4—44no—
1167C22×C4—44no—
1168C22×C4—44no—
1169C22×C4—416no—
1170C22×C4—416no—
1171C22×C4—4128no—
1172C22×C4—416no—
1173C22×C4—88no—
1174C22×C4—88no—
1175C22×C4—88no—
1176C22×C4—88no—
1177C22×C4—88no—
1178C22×C4—88no—
1179C22×C4—88no—
1180C22×C4C2×#4114yes—
1181C22×C4C2×#4114yes—
1182C22×C4C2×#41116yes—
1183C22×C4H(5,𝔽2)14yes—
1184C22×C4C2512yes—
1185C22×C4C2512yes—
1186C22×C4C2512yes—
1187C22×C4C2512yes—
1188C22×C4C2512yes—
1189C22×C4C2512yes—
1190C22×C4C2512yes—
1191C22×C4C2512yes—
1192C22×C4C2512yes—
1193C22×C4C2512yes—
1194C22×C4C2512yes—
1195C22×C4C2512yes—
1196C22×C4C2512yes—
1197C22×C4C2512yes—
1198C22×C4C2512yes—
1199C22×C4C2512yes—
1200C22×C4C2512yes—
1201C22×C4C2512yes—
1202C22×C4C2512yes—
1203C22×C4C2512yes—
1204C22×C4C2512yes—
1205C22×C4C2512yes—
1206C22×C4C2512yes—
1207C22×C4C2512yes—
1208C22×C4C2512yes—
1209C4⋊C4—28no—
1210C4⋊C4—28no—
1211C4⋊C4—28no—
1212C4⋊C4—28no—
1213C4⋊C4—28no—
1214C4⋊C4—28no—
1215C4⋊C4—44no—
1216C4⋊C4—44no—
1217C4⋊C4—44no—
1218C4⋊C4—44no—
1219C4⋊C4—44no—
1220C4⋊C4—44no—
1221C4⋊C4—44no—
1222C4⋊C4—44no—
1223C4⋊C4—44no—
1224C4⋊C4—44no—
1225C4⋊C4—44no—
1226C4⋊C4—44no—
1227C4⋊C4—44no—
1228C4⋊C4—44no—
1229C4⋊C4—44no—
1230C4⋊C4—44no—
1231C4⋊C4—44no—
1232C4⋊C4—44no—
1233C4⋊C4—44no—
1234C4⋊C4—44no—
1235C4⋊C4—44no—
1236C4⋊C4—44no—
1237C4⋊C4—44no—
1238C4⋊C4—44no—
1239C4⋊C4—44no—
1240C22⋊C4—28no—
1241C22⋊C4—28no—
1242C22⋊C4—28no—
1243C22⋊C4—28no—
1244C22⋊C4—28no—
1245C22⋊C4—28no—
1246C22⋊C4—28no—
1247C22⋊C4—28no—
1248C22⋊C4—28no—
1249C22⋊C4—28no—
1250C22⋊C4—28no—
1251C22⋊C4—28no—
1252C22⋊C4—28no—
1253C22⋊C4—28no—
1254C22⋊C4—28no—
1255C22⋊C4—28no—
1256C22⋊C4—28no—
1257C22⋊C4—28no—
1258C22⋊C4—44no—
1259C22⋊C4—44no—
1260C22⋊C4—44no—
1261C22⋊C4—44no—
1262C22⋊C4—44no—
1263C22⋊C4—44no—
1264C22⋊C4—44no—
1265C22⋊C4—44no—
1266C22⋊C4—44no—
1267C22⋊C4—44no—
1268C22⋊C4—44no—
1269C22⋊C4—44no—
1270C22⋊C4—44no—
1271C22⋊C4—44no—
1272C22⋊C4—44no—
1273C22⋊C4—44no—
1274C22⋊C4—44no—
1275C22⋊C4—44no—
1276C22⋊C4—44no—
1277C22⋊C4—44no—
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—
1290C42—44no—
1291C42—44no—
1292C42—44no—
1293C42—44no—
1294C42—44no—
1295C23—22no—
1296C23—22no—
1297C23—22no—
1298C23—22no—
1299C23—28no—
1300C23—28no—
1301C23—28no—
1302C23—28no—
1303C23—28no—
1304C23—28no—
1305C23—232no—
1306C23—22no—
1307C23—22no—
1308C23—22no—
1309C23—22no—
1310C23—22no—
1311C23—22no—
1312C23—22no—
1313C23—22no—
1314C23—22no—
1315C23—22no—
1316C23—22no—
1317C23—22no—
1318C23—28no—
1319C23—28no—
1320C23—28no—
1321C23—28no—
1322C23—28no—
1323C23—28no—
1324C23—22no—
1325C23—22no—
1326C23—22no—
1327C23—22no—
1328C23—22no—
1329C23—22no—
1330C23—22no—
1331C23—22no—
1332C23—22no—
1333C23—22no—
1334C23—22no—
1335C23—22no—
1336C23—22no—
1337C23—22no—
1338C23—22no—
1339C23—22no—
1340C23—22no—
1341C23—22no—
1342C23—22no—
1343C23—22no—
1344C23—22no—
1345C23—416no—
1346C23—416no—
1347C23—416no—
1348C23—416no—
1349C23—416no—
1350C23—4128no—
1351C23—44no—
1352C23—44no—
1353C23—416no—
1354C23—44no—
1355C23—44no—
1356C23—44no—
1357C23—44no—
1358C23—44no—
1359C23—44no—
1360C23—44no—
1361C23—44no—
1362C23—44no—
1363C23—44no—
1364C23—44no—
1365C23—44no—
1366C23—44no—
1367C23—44no—
1368C23—44no—
1369C23—44no—
1370C23—44no—
1371C23—44no—
1372C23—44no—
1373C23—44no—
1374C23—44no—
1375C23—44no—
1376C23—44no—
1377C23—44no—
1378C23—44no—
1379C23—44no—
1380C23—44no—
1381C23#562116yes—
1382C23C22×#4114yes—
1383C23C22×#4112yes—
1384C23C2×H(5,𝔽2)14yes—
1385C23C2×H(5,𝔽2)14yes—
1386C23C2×H(5,𝔽2)14yes—
1387C23C2×H(5,𝔽2)12yes—
1388C23C2×H(5,𝔽2)12yes—
1389C23C2×H(5,𝔽2)12yes—
1390C23C2×H(5,𝔽2)12yes—
1391C23C2×2−1+414yes—
1392C23C2×2−1+412yes—
1393C23#58512yes—
1394C23C2611yescharacteristic
1395Q8—88no—
1396D4—416no—
1397D4—416no—
1398D4—416no—
1399D4—88no—
1400D4—88no—
1401D4—88no—
1402D4—88no—
1403D4—88no—
1404D4—88no—
1405D4—88no—
1406D4—88no—
1407D4—88no—
1408C2×C4—232no—
1409C2×C4—22no—
1410C2×C4—22no—
1411C2×C4—22no—
1412C2×C4—22no—
1413C2×C4—22no—
1414C2×C4—22no—
1415C2×C4—28no—
1416C2×C4—28no—
1417C2×C4—28no—
1418C2×C4—22no—
1419C2×C4—22no—
1420C2×C4—22no—
1421C2×C4—22no—
1422C2×C4—22no—
1423C2×C4—22no—
1424C2×C4—22no—
1425C2×C4—22no—
1426C2×C4—22no—
1427C2×C4—22no—
1428C2×C4—22no—
1429C2×C4—22no—
1430C2×C4—22no—
1431C2×C4—22no—
1432C2×C4—22no—
1433C2×C4—22no—
1434C2×C4—22no—
1435C2×C4—22no—
1436C2×C4—22no—
1437C2×C4—22no—
1438C2×C4—22no—
1439C2×C4—22no—
1440C2×C4—22no—
1441C2×C4—22no—
1442C2×C4—22no—
1443C2×C4—22no—
1444C2×C4—22no—
1445C2×C4—22no—
1446C2×C4—22no—
1447C2×C4—22no—
1448C2×C4—22no—
1449C2×C4—22no—
1450C2×C4—22no—
1451C2×C4—22no—
1452C2×C4—22no—
1453C2×C4—22no—
1454C2×C4—22no—
1455C2×C4—22no—
1456C2×C4—22no—
1457C2×C4—22no—
1458C2×C4—22no—
1459C2×C4—22no—
1460C2×C4—22no—
1461C2×C4—22no—
1462C2×C4—22no—
1463C2×C4—22no—
1464C2×C4—22no—
1465C2×C4—22no—
1466C2×C4—22no—
1467C2×C4—22no—
1468C2×C4—22no—
1469C2×C4—22no—
1470C2×C4—22no—
1471C2×C4—22no—
1472C2×C4—22no—
1473C2×C4—22no—
1474C2×C4—22no—
1475C2×C4—22no—
1476C2×C4—22no—
1477C2×C4—22no—
1478C2×C4—22no—
1479C2×C4—22no—
1480C2×C4—22no—
1481C2×C4—22no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—416no—
1485C2×C4—416no—
1486C2×C4—416no—
1487C2×C4—416no—
1488C2×C4—416no—
1489C2×C4—44no—
1490C2×C4—44no—
1491C2×C4—44no—
1492C2×C4—44no—
1493C2×C4—44no—
1494C2×C4—44no—
1495C2×C4—44no—
1496C2×C4—44no—
1497C2×C4—44no—
1498C2×C4—44no—
1499C2×C4—44no—
1500C2×C4—44no—
1501C2×C4—44no—
1502C2×C4—44no—
1503C2×C4—44no—
1504C2×C4—44no—
1505C2×C4—44no—
1506C2×C4—44no—
1507C2×C4—44no—
1508C2×C4—44no—
1509C2×C4—44no—
1510C2×C4—44no—
1511C2×C4—88no—
1512C2×C4—88no—
1513C2×C4—88no—
1514C2×C4—88no—
1515C2×C4—88no—
1516C2×C4—88no—
1517C2×C4—88no—
1518C2×C4C22×#4114yes—
1519C2×C4C22×#4114yes—
1520C2×C4C2×H(5,𝔽2)14yes—
1521C22—24no—
1522C22—24no—
1523C22—24no—
1524C22—24no—
1525C22—24no—
1526C22—24no—
1527C22—232no—
1528C22—24no—
1529C22—24no—
1530C22—24no—
1531C22—24no—
1532C22—24no—
1533C22—24no—
1534C22—464no—
1535C22—42no—
1536C22—42no—
1537C22—42no—
1538C22—42no—
1539C22—42no—
1540C22—42no—
1541C22—416no—
1542C22—416no—
1543C22—42no—
1544C22—42no—
1545C22—42no—
1546C22—42no—
1547C22—42no—
1548C22—42no—
1549C22—42no—
1550C22—42no—
1551C22—42no—
1552C22—42no—
1553C22—42no—
1554C22—42no—
1555C22—42no—
1556C22—42no—
1557C22—42no—
1558C22—42no—
1559C22—42no—
1560C22—42no—
1561C22—42no—
1562C22—42no—
1563C22—42no—
1564C22—42no—
1565C22—42no—
1566C22—88no—
1567C22—88no—
1568C22—88no—
1569C22#349014yes—
1570C22#349214yes—
1571C22#349414yes—
1572C22C2×#56218yes—
1573C22C2×#56214yes—
1574C22#353414yes—
1575C22#353714yes—
1576C22#354114yes—
1577C22C23×#4111yescharacteristic
1578C22C22×H(5,𝔽2)11yescharacteristic
1579C22C22×H(5,𝔽2)11yescharacteristic
1580C22C22×H(5,𝔽2)11yescharacteristic
1581C22C22×H(5,𝔽2)11yescharacteristic
1582C22C22×2−1+411yescharacteristic
1583C22C2×#58511yescharacteristic
1584C4—24no—
1585C4—24no—
1586C4—24no—
1587C4—42no—
1588C4—42no—
1589C4—42no—
1590C4—42no—
1591C4—42no—
1592C4—42no—
1593C4—42no—
1594C4—42no—
1595C4—42no—
1596C4—42no—
1597C4—42no—
1598C4—42no—
1599C4—42no—
1600C4—42no—
1601C4—42no—
1602C4—42no—
1603C4—42no—
1604C4—42no—
1605C4—42no—
1606C4—42no—
1607C4—42no—
1608C4—42no—
1609C2—28no—
1610C2—44no—
1611C2—44no—
1612C2—82no—
1613C2—82no—
1614C2—82no—
1615C2#4546218yesdirect product factor
1616C2C22×#56211yescharacteristic
1617C2C2×#354111yescharacteristic
1618C2C2×#353411yescharacteristic
1619C2C2×#353711yescharacteristic
1620C2C2×#349011yescharacteristic
1621C2C2×#349211yescharacteristic
1622C2C2×#349411yescharacteristic
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. C2×#2781C2semidirect
2. C2×#2779C2semidirect
3. C2×#2747C2semidirect
4. C2×#2743C2semidirect
5. C2×#2741C2semidirect
6. C2×#2740C2semidirect
7. C2×#2708C2semidirect
8. C2×#2706C2semidirect
9. C2×#2696C2semidirect
10. C2×#2686C2semidirect
11. C2×#2672C2semidirect
12. C2×#2671C2semidirect
13. #45462C2direct (N × H)
14. C2×#2841C2semidirect
15. C2×#2813C2semidirect
16. C2×#2849C2semidirect
17. C2×#2847C2semidirect
18. C2×#2591C2semidirect
19. C2×#2564C2semidirect
20. C2×#2579C2semidirect
21. C2×#2543C2semidirect
22. C2×#2505C2semidirect
23. C2×#2444C2semidirect
24. C2×#2472C2semidirect
25. C2×#2449C2semidirect
26. C2×#2424C2semidirect
27. C2×#2424C2semidirect
28. C2×#2443C2semidirect
29. C2×#2418C2semidirect
30. C2×#2377C2semidirect
31. C2×#2376C2semidirect
32. C22×#380C2semidirect
38. C22×#123C22semidirect
40. C22×C22⋊Q8C22semidirect
58. #2849C22semidirect
59. #2847C22semidirect
60. #2841C22semidirect
61. #2813C22semidirect
62. #2781C22semidirect
63. #2779C22semidirect
64. #2747C22semidirect
65. #2743C22semidirect
66. #2741C22semidirect
67. #2740C22semidirect
68. #2708C22semidirect
69. #2706C22semidirect
70. #2696C22semidirect
71. #2686C22semidirect
72. #2672C22semidirect
73. #2671C22semidirect
74. #2591C22semidirect
75. #2579C22semidirect
76. #2564C22semidirect
77. #2543C22semidirect
78. #2505C22semidirect
79. #2472C22semidirect
80. #2449C22semidirect
81. #2444C22semidirect
82. #2443C22semidirect
83. #2424C22semidirect
84. #2424C22semidirect
85. #2418C22semidirect
86. C2×#400C22semidirect
87. C2×#400C22semidirect
88. C2×#400C22semidirect
89. C2×#400C22semidirect
90. C2×#400C22semidirect
91. C2×#400C22semidirect
92. C2×#400C22semidirect
94. C2×#399C22semidirect
95. C2×#399C22semidirect
96. C2×#399C22semidirect
97. C2×#398C22semidirect
98. C2×#398C22semidirect
99. C2×#398C22semidirect
100. C2×#398C22semidirect
101. C2×#398C22semidirect
102. C2×#398C22semidirect
105. C2×#397C22semidirect
106. C2×#397C22semidirect
107. C2×#397C22semidirect
108. C2×#397C22semidirect
111. C2×#396C22semidirect
112. C2×#396C22semidirect
113. C2×#396C22semidirect
114. C2×#395C22semidirect
115. C2×#395C22semidirect
124. C2×#394C22semidirect
125. C2×#394C22semidirect
126. C2×#394C22semidirect
127. C2×#394C22semidirect
128. C2×#394C22semidirect
130. C2×#393C22semidirect
133. C2×#392C22semidirect
134. #2377C22semidirect
135. #2376C22semidirect
139. C2×#389C22semidirect
140. C2×#389C22semidirect
147. C2×#388C22semidirect
148. C2×#388C22semidirect
149. C2×#388C22semidirect
150. C2×#388C22semidirect
151. C2×#388C22semidirect
152. C2×#388C22semidirect
153. C2×#388C22semidirect
154. C2×#388C22semidirect
155. C2×#387C22semidirect
156. C2×#387C22semidirect
157. C2×#387C22semidirect
158. C2×#387C22semidirect
159. C2×#387C22semidirect
160. C2×#387C22semidirect
161. C2×#387C22semidirect
162. C2×#387C22semidirect
163. C2×#387C22semidirect
182. C2×#386C22semidirect
183. C2×#386C22semidirect
184. C2×#386C22semidirect
192. C2×#385C22semidirect
193. C2×#385C22semidirect
194. C2×#385C22semidirect
195. C2×#385C22semidirect
196. C2×#385C22semidirect
197. C2×#385C22semidirect
198. C2×#382C22semidirect
201. C2×#381C22semidirect
214. C2×#380C22semidirect
259. C2×#123C23semidirect
263. C2×C22⋊Q8C23semidirect
384. #400C23semidirect
385. #400C23semidirect
386. #400C23semidirect
387. #400C23semidirect
388. #400C23semidirect
389. #400C23semidirect
390. #400C23semidirect
392. #399C23semidirect
393. #399C23semidirect
394. #399C23semidirect
395. #398C23semidirect
396. #398C23semidirect
397. #398C23semidirect
398. #398C23semidirect
399. #398C23semidirect
400. #398C23semidirect
403. #397C23semidirect
404. #397C23semidirect
405. #397C23semidirect
406. #397C23semidirect
409. #396C23semidirect
410. #396C23semidirect
411. #396C23semidirect
412. #395C23semidirect
413. #395C23semidirect
422. #394C23semidirect
423. #394C23semidirect
424. #394C23semidirect
425. #394C23semidirect
426. #394C23semidirect
428. #393C23semidirect
431. #392C23semidirect
435. #389C23semidirect
436. #389C23semidirect
443. #388C23semidirect
444. #388C23semidirect
445. #388C23semidirect
446. #388C23semidirect
447. #388C23semidirect
448. #388C23semidirect
449. #388C23semidirect
450. #388C23semidirect
451. #387C23semidirect
452. #387C23semidirect
453. #387C23semidirect
454. #387C23semidirect
455. #387C23semidirect
456. #387C23semidirect
457. #387C23semidirect
458. #387C23semidirect
459. #387C23semidirect
478. #386C23semidirect
479. #386C23semidirect
480. #386C23semidirect
488. #385C23semidirect
489. #385C23semidirect
490. #385C23semidirect
491. #385C23semidirect
492. #385C23semidirect
493. #385C23semidirect
494. #382C23semidirect
497. #381C23semidirect
1615. C2#45462direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#27812
C2×#27792
C2×#27472
C2×#27432
C2×#27412
C2×#27402
C2×#27082
C2×#27062
C2×#26962
C2×#26862
C2×#26722
C2×#26712
#454622
C2×#28412
C2×#28132
C2×#28492
C2×#28472
C2×#25912
C2×#25642
C2×#25792
C2×#25432
C2×#25052
C2×#24442
C2×#24722
C2×#24492
C2×#24242
C2×#24432
C2×#24182
C2×#23772
C2×#23762
C22×#3802